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Finding the Fourth Proportional to 71,209.71, 98,269.23 and 40,984

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Solution

The fourth proportional to 71,209.71, 98,269.23 and 40,984 is: 56,557.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,209.71 : 98,269.23 = 40,984 : x
  2. Step 2: Convert to fraction form
    71,209.71/98,269.23 = 40,984/x
  3. Step 3: Cross multiply
    71,209.71x = 98,269.23 × 40,984
  4. Step 4: Simplify right side
    71,209.71x = 4,027,466,122.32
  5. Step 5: Solve for x
    x = 4,027,466,122.32/71,209.71
  6. Step 6: Final answer
    x = 56,557.82

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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.