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Finding the Fourth Proportional to 123,678, 185,517.52 and 52,582.32

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Solution

The fourth proportional to 123,678, 185,517.52 and 52,582.32 is: 78,873.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,678 : 185,517.52 = 52,582.32 : x
  2. Step 2: Convert to fraction form
    123,678/185,517.52 = 52,582.32/x
  3. Step 3: Cross multiply
    123,678x = 185,517.52 × 52,582.32
  4. Step 4: Simplify right side
    123,678x = 9,754,941,602.25
  5. Step 5: Solve for x
    x = 9,754,941,602.25/123,678
  6. Step 6: Final answer
    x = 78,873.70

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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.