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Finding the Fourth Proportional to 153,615.70, 231,253.42 and 138,166.98

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Solution

The fourth proportional to 153,615.70, 231,253.42 and 138,166.98 is: 207,996.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,615.70 : 231,253.42 = 138,166.98 : x
  2. Step 2: Convert to fraction form
    153,615.70/231,253.42 = 138,166.98/x
  3. Step 3: Cross multiply
    153,615.70x = 231,253.42 × 138,166.98
  4. Step 4: Simplify right side
    153,615.70x = 31,951,586,656.07
  5. Step 5: Solve for x
    x = 31,951,586,656.07/153,615.70
  6. Step 6: Final answer
    x = 207,996.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.