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Finding the Fourth Proportional to 137,542.30, 206,311.74 and 37,702.40

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Solution

The fourth proportional to 137,542.30, 206,311.74 and 37,702.40 is: 56,553.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,542.30 : 206,311.74 = 37,702.40 : x
  2. Step 2: Convert to fraction form
    137,542.30/206,311.74 = 37,702.40/x
  3. Step 3: Cross multiply
    137,542.30x = 206,311.74 × 37,702.40
  4. Step 4: Simplify right side
    137,542.30x = 7,778,447,746.18
  5. Step 5: Solve for x
    x = 7,778,447,746.18/137,542.30
  6. Step 6: Final answer
    x = 56,553.13

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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.