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Finding the Fourth Proportional to 123,478.70, 185,181.30 and 52,400.19

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Solution

The fourth proportional to 123,478.70, 185,181.30 and 52,400.19 is: 78,584.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,478.70 : 185,181.30 = 52,400.19 : x
  2. Step 2: Convert to fraction form
    123,478.70/185,181.30 = 52,400.19/x
  3. Step 3: Cross multiply
    123,478.70x = 185,181.30 × 52,400.19
  4. Step 4: Simplify right side
    123,478.70x = 9,703,535,304.45
  5. Step 5: Solve for x
    x = 9,703,535,304.45/123,478.70
  6. Step 6: Final answer
    x = 78,584.69

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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.