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Finding the Fourth Proportional to 102,503.20, 153,754.80 and 55,847.20

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Solution

The fourth proportional to 102,503.20, 153,754.80 and 55,847.20 is: 83,770.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,503.20 : 153,754.80 = 55,847.20 : x
  2. Step 2: Convert to fraction form
    102,503.20/153,754.80 = 55,847.20/x
  3. Step 3: Cross multiply
    102,503.20x = 153,754.80 × 55,847.20
  4. Step 4: Simplify right side
    102,503.20x = 8,586,775,066.56
  5. Step 5: Solve for x
    x = 8,586,775,066.56/102,503.20
  6. Step 6: Final answer
    x = 83,770.80

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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.