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Finding the Fourth Proportional to 99,527.68, 137,349.12 and 54,816

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Solution

The fourth proportional to 99,527.68, 137,349.12 and 54,816 is: 75,646.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,527.68 : 137,349.12 = 54,816 : x
  2. Step 2: Convert to fraction form
    99,527.68/137,349.12 = 54,816/x
  3. Step 3: Cross multiply
    99,527.68x = 137,349.12 × 54,816
  4. Step 4: Simplify right side
    99,527.68x = 7,528,929,361.92
  5. Step 5: Solve for x
    x = 7,528,929,361.92/99,527.68
  6. Step 6: Final answer
    x = 75,646.59

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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.