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Finding the Fourth Proportional to 71,391.60, 106,957.80 and 43,657.20

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Solution

The fourth proportional to 71,391.60, 106,957.80 and 43,657.20 is: 65,406.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,391.60 : 106,957.80 = 43,657.20 : x
  2. Step 2: Convert to fraction form
    71,391.60/106,957.80 = 43,657.20/x
  3. Step 3: Cross multiply
    71,391.60x = 106,957.80 × 43,657.20
  4. Step 4: Simplify right side
    71,391.60x = 4,669,478,066.16
  5. Step 5: Solve for x
    x = 4,669,478,066.16/71,391.60
  6. Step 6: Final answer
    x = 65,406.55

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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.