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Finding the Fourth Proportional to 149,540.71, 206,384.76 and 85,877.14

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Solution

The fourth proportional to 149,540.71, 206,384.76 and 85,877.14 is: 118,521.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,540.71 : 206,384.76 = 85,877.14 : x
  2. Step 2: Convert to fraction form
    149,540.71/206,384.76 = 85,877.14/x
  3. Step 3: Cross multiply
    149,540.71x = 206,384.76 × 85,877.14
  4. Step 4: Simplify right side
    149,540.71x = 17,723,732,928.39
  5. Step 5: Solve for x
    x = 17,723,732,928.39/149,540.71
  6. Step 6: Final answer
    x = 118,521.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.