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Finding the Fourth Proportional to 508,129.23, 762,193.86 and 134,155.47

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Solution

The fourth proportional to 508,129.23, 762,193.86 and 134,155.47 is: 201,233.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,129.23 : 762,193.86 = 134,155.47 : x
  2. Step 2: Convert to fraction form
    508,129.23/762,193.86 = 134,155.47/x
  3. Step 3: Cross multiply
    508,129.23x = 762,193.86 × 134,155.47
  4. Step 4: Simplify right side
    508,129.23x = 102,252,475,519.41
  5. Step 5: Solve for x
    x = 102,252,475,519.41/508,129.23
  6. Step 6: Final answer
    x = 201,233.21

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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.