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Finding the Fourth Proportional to 137,754.74, 206,666.43 and 39,258.74

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Solution

The fourth proportional to 137,754.74, 206,666.43 and 39,258.74 is: 58,897.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,754.74 : 206,666.43 = 39,258.74 : x
  2. Step 2: Convert to fraction form
    137,754.74/206,666.43 = 39,258.74/x
  3. Step 3: Cross multiply
    137,754.74x = 206,666.43 × 39,258.74
  4. Step 4: Simplify right side
    137,754.74x = 8,113,463,642.10
  5. Step 5: Solve for x
    x = 8,113,463,642.10/137,754.74
  6. Step 6: Final answer
    x = 58,897.89

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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.