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Finding the Fourth Proportional to 138,020.52, 207,030.56 and 43,258

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Solution

The fourth proportional to 138,020.52, 207,030.56 and 43,258 is: 64,886.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,020.52 : 207,030.56 = 43,258 : x
  2. Step 2: Convert to fraction form
    138,020.52/207,030.56 = 43,258/x
  3. Step 3: Cross multiply
    138,020.52x = 207,030.56 × 43,258
  4. Step 4: Simplify right side
    138,020.52x = 8,955,727,964.48
  5. Step 5: Solve for x
    x = 8,955,727,964.48/138,020.52
  6. Step 6: Final answer
    x = 64,886.93

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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.