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Finding the Fourth Proportional to 107,644.89, 161,434.49 and 86,534.87

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Solution

The fourth proportional to 107,644.89, 161,434.49 and 86,534.87 is: 129,775.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,644.89 : 161,434.49 = 86,534.87 : x
  2. Step 2: Convert to fraction form
    107,644.89/161,434.49 = 86,534.87/x
  3. Step 3: Cross multiply
    107,644.89x = 161,434.49 × 86,534.87
  4. Step 4: Simplify right side
    107,644.89x = 13,969,712,605.67
  5. Step 5: Solve for x
    x = 13,969,712,605.67/107,644.89
  6. Step 6: Final answer
    x = 129,775.90

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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.