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Finding the Fourth Proportional to 99,810, 137,737.80 and 55,098.32

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Solution

The fourth proportional to 99,810, 137,737.80 and 55,098.32 is: 76,035.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,810 : 137,737.80 = 55,098.32 : x
  2. Step 2: Convert to fraction form
    99,810/137,737.80 = 55,098.32/x
  3. Step 3: Cross multiply
    99,810x = 137,737.80 × 55,098.32
  4. Step 4: Simplify right side
    99,810x = 7,589,121,380.50
  5. Step 5: Solve for x
    x = 7,589,121,380.50/99,810
  6. Step 6: Final answer
    x = 76,035.68

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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.