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Finding the Fourth Proportional to 98,781.32, 148,022.31 and 65,381.73

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Solution

The fourth proportional to 98,781.32, 148,022.31 and 65,381.73 is: 97,973.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,781.32 : 148,022.31 = 65,381.73 : x
  2. Step 2: Convert to fraction form
    98,781.32/148,022.31 = 65,381.73/x
  3. Step 3: Cross multiply
    98,781.32x = 148,022.31 × 65,381.73
  4. Step 4: Simplify right side
    98,781.32x = 9,677,955,045.23
  5. Step 5: Solve for x
    x = 9,677,955,045.23/98,781.32
  6. Step 6: Final answer
    x = 97,973.53

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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.