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Finding the Fourth Proportional to 100,702.52, 138,970.74 and 55,385.48

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Solution

The fourth proportional to 100,702.52, 138,970.74 and 55,385.48 is: 76,432.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,702.52 : 138,970.74 = 55,385.48 : x
  2. Step 2: Convert to fraction form
    100,702.52/138,970.74 = 55,385.48/x
  3. Step 3: Cross multiply
    100,702.52x = 138,970.74 × 55,385.48
  4. Step 4: Simplify right side
    100,702.52x = 7,696,961,140.86
  5. Step 5: Solve for x
    x = 7,696,961,140.86/100,702.52
  6. Step 6: Final answer
    x = 76,432.66

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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.