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Finding the Fourth Proportional to 207,565, 311,347.50 and 67,323.63

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Solution

The fourth proportional to 207,565, 311,347.50 and 67,323.63 is: 100,985.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,565 : 311,347.50 = 67,323.63 : x
  2. Step 2: Convert to fraction form
    207,565/311,347.50 = 67,323.63/x
  3. Step 3: Cross multiply
    207,565x = 311,347.50 × 67,323.63
  4. Step 4: Simplify right side
    207,565x = 20,961,043,891.43
  5. Step 5: Solve for x
    x = 20,961,043,891.43/207,565
  6. Step 6: Final answer
    x = 100,985.45

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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.