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Finding the Fourth Proportional to 145,062.56, 217,655.76 and 81,930.08

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Solution

The fourth proportional to 145,062.56, 217,655.76 and 81,930.08 is: 122,930.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,062.56 : 217,655.76 = 81,930.08 : x
  2. Step 2: Convert to fraction form
    145,062.56/217,655.76 = 81,930.08/x
  3. Step 3: Cross multiply
    145,062.56x = 217,655.76 × 81,930.08
  4. Step 4: Simplify right side
    145,062.56x = 17,832,553,829.26
  5. Step 5: Solve for x
    x = 17,832,553,829.26/145,062.56
  6. Step 6: Final answer
    x = 122,930.09

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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.