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Finding the Fourth Proportional to 99,818.40, 137,772.54 and 65,832.96

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Solution

The fourth proportional to 99,818.40, 137,772.54 and 65,832.96 is: 90,864.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,818.40 : 137,772.54 = 65,832.96 : x
  2. Step 2: Convert to fraction form
    99,818.40/137,772.54 = 65,832.96/x
  3. Step 3: Cross multiply
    99,818.40x = 137,772.54 × 65,832.96
  4. Step 4: Simplify right side
    99,818.40x = 9,069,974,114.92
  5. Step 5: Solve for x
    x = 9,069,974,114.92/99,818.40
  6. Step 6: Final answer
    x = 90,864.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.