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Finding the Fourth Proportional to 71,657.60, 107,356.80 and 58,438.40

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Solution

The fourth proportional to 71,657.60, 107,356.80 and 58,438.40 is: 87,551.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,657.60 : 107,356.80 = 58,438.40 : x
  2. Step 2: Convert to fraction form
    71,657.60/107,356.80 = 58,438.40/x
  3. Step 3: Cross multiply
    71,657.60x = 107,356.80 × 58,438.40
  4. Step 4: Simplify right side
    71,657.60x = 6,273,759,621.12
  5. Step 5: Solve for x
    x = 6,273,759,621.12/71,657.60
  6. Step 6: Final answer
    x = 87,551.91

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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.