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Finding the Fourth Proportional to 137,773.61, 206,258.95 and 102,391.59

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Solution

The fourth proportional to 137,773.61, 206,258.95 and 102,391.59 is: 153,289.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,773.61 : 206,258.95 = 102,391.59 : x
  2. Step 2: Convert to fraction form
    137,773.61/206,258.95 = 102,391.59/x
  3. Step 3: Cross multiply
    137,773.61x = 206,258.95 × 102,391.59
  4. Step 4: Simplify right side
    137,773.61x = 21,119,181,330.27
  5. Step 5: Solve for x
    x = 21,119,181,330.27/137,773.61
  6. Step 6: Final answer
    x = 153,289.02

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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.