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Finding the Fourth Proportional to 100,702.85, 138,967.15 and 55,380.83

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Solution

The fourth proportional to 100,702.85, 138,967.15 and 55,380.83 is: 76,424.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,702.85 : 138,967.15 = 55,380.83 : x
  2. Step 2: Convert to fraction form
    100,702.85/138,967.15 = 55,380.83/x
  3. Step 3: Cross multiply
    100,702.85x = 138,967.15 × 55,380.83
  4. Step 4: Simplify right side
    100,702.85x = 7,696,115,276.45
  5. Step 5: Solve for x
    x = 7,696,115,276.45/100,702.85
  6. Step 6: Final answer
    x = 76,424.00

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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.