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Finding the Fourth Proportional to 71,319.20, 106,978.80 and 38,026.40

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Solution

The fourth proportional to 71,319.20, 106,978.80 and 38,026.40 is: 57,039.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,319.20 : 106,978.80 = 38,026.40 : x
  2. Step 2: Convert to fraction form
    71,319.20/106,978.80 = 38,026.40/x
  3. Step 3: Cross multiply
    71,319.20x = 106,978.80 × 38,026.40
  4. Step 4: Simplify right side
    71,319.20x = 4,068,018,640.32
  5. Step 5: Solve for x
    x = 4,068,018,640.32/71,319.20
  6. Step 6: Final answer
    x = 57,039.60

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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.