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Finding the Fourth Proportional to 66,538.43, 99,807.64 and 42,918.83

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Solution

The fourth proportional to 66,538.43, 99,807.64 and 42,918.83 is: 64,378.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,538.43 : 99,807.64 = 42,918.83 : x
  2. Step 2: Convert to fraction form
    66,538.43/99,807.64 = 42,918.83/x
  3. Step 3: Cross multiply
    66,538.43x = 99,807.64 × 42,918.83
  4. Step 4: Simplify right side
    66,538.43x = 4,283,626,527.53
  5. Step 5: Solve for x
    x = 4,283,626,527.53/66,538.43
  6. Step 6: Final answer
    x = 64,378.24

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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.