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Finding the Fourth Proportional to 145,414.71, 218,238.71 and 75,314.07

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Solution

The fourth proportional to 145,414.71, 218,238.71 and 75,314.07 is: 113,031.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,414.71 : 218,238.71 = 75,314.07 : x
  2. Step 2: Convert to fraction form
    145,414.71/218,238.71 = 75,314.07/x
  3. Step 3: Cross multiply
    145,414.71x = 218,238.71 × 75,314.07
  4. Step 4: Simplify right side
    145,414.71x = 16,436,445,105.08
  5. Step 5: Solve for x
    x = 16,436,445,105.08/145,414.71
  6. Step 6: Final answer
    x = 113,031.52

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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.