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Finding the Fourth Proportional to 99,802.68, 137,722.44 and 54,471.86

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Solution

The fourth proportional to 99,802.68, 137,722.44 and 54,471.86 is: 75,168.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,802.68 : 137,722.44 = 54,471.86 : x
  2. Step 2: Convert to fraction form
    99,802.68/137,722.44 = 54,471.86/x
  3. Step 3: Cross multiply
    99,802.68x = 137,722.44 × 54,471.86
  4. Step 4: Simplify right side
    99,802.68x = 7,501,998,019.11
  5. Step 5: Solve for x
    x = 7,501,998,019.11/99,802.68
  6. Step 6: Final answer
    x = 75,168.30

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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.