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Finding the Fourth Proportional to 207,722,503.20, 311,583,754.80 and 86,538,208.80

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Solution

The fourth proportional to 207,722,503.20, 311,583,754.80 and 86,538,208.80 is: 129,807,313.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,722,503.20 : 311,583,754.80 = 86,538,208.80 : x
  2. Step 2: Convert to fraction form
    207,722,503.20/311,583,754.80 = 86,538,208.80/x
  3. Step 3: Cross multiply
    207,722,503.20x = 311,583,754.80 × 86,538,208.80
  4. Step 4: Simplify right side
    207,722,503.20x = 26,963,900,031,570,404
  5. Step 5: Solve for x
    x = 26,963,900,031,570,404/207,722,503.20
  6. Step 6: Final answer
    x = 129,807,313.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.