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Finding the Fourth Proportional to 97,420, 134,439.60 and 52,708

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Solution

The fourth proportional to 97,420, 134,439.60 and 52,708 is: 72,737.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,420 : 134,439.60 = 52,708 : x
  2. Step 2: Convert to fraction form
    97,420/134,439.60 = 52,708/x
  3. Step 3: Cross multiply
    97,420x = 134,439.60 × 52,708
  4. Step 4: Simplify right side
    97,420x = 7,086,042,436.80
  5. Step 5: Solve for x
    x = 7,086,042,436.80/97,420
  6. Step 6: Final answer
    x = 72,737.04

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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.