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Finding the Fourth Proportional to 71,059.68, 98,054 and 42,380.90

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Solution

The fourth proportional to 71,059.68, 98,054 and 42,380.90 is: 58,480.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,059.68 : 98,054 = 42,380.90 : x
  2. Step 2: Convert to fraction form
    71,059.68/98,054 = 42,380.90/x
  3. Step 3: Cross multiply
    71,059.68x = 98,054 × 42,380.90
  4. Step 4: Simplify right side
    71,059.68x = 4,155,616,768.60
  5. Step 5: Solve for x
    x = 4,155,616,768.60/71,059.68
  6. Step 6: Final answer
    x = 58,480.66

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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.