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Finding the Fourth Proportional to 475,077.32, 712,685.54 and 138,074.19

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Solution

The fourth proportional to 475,077.32, 712,685.54 and 138,074.19 is: 207,131.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,077.32 : 712,685.54 = 138,074.19 : x
  2. Step 2: Convert to fraction form
    475,077.32/712,685.54 = 138,074.19/x
  3. Step 3: Cross multiply
    475,077.32x = 712,685.54 × 138,074.19
  4. Step 4: Simplify right side
    475,077.32x = 98,403,478,660.21
  5. Step 5: Solve for x
    x = 98,403,478,660.21/475,077.32
  6. Step 6: Final answer
    x = 207,131.50

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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.