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Finding the Fourth Proportional to 122,581.31, 184,148.76 and 72,694.13

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Solution

The fourth proportional to 122,581.31, 184,148.76 and 72,694.13 is: 109,205.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,581.31 : 184,148.76 = 72,694.13 : x
  2. Step 2: Convert to fraction form
    122,581.31/184,148.76 = 72,694.13/x
  3. Step 3: Cross multiply
    122,581.31x = 184,148.76 × 72,694.13
  4. Step 4: Simplify right side
    122,581.31x = 13,386,533,613.52
  5. Step 5: Solve for x
    x = 13,386,533,613.52/122,581.31
  6. Step 6: Final answer
    x = 109,205.34

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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.