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Finding the Fourth Proportional to 123,978.08, 186,046.32 and 45,084.80

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Solution

The fourth proportional to 123,978.08, 186,046.32 and 45,084.80 is: 67,656.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,978.08 : 186,046.32 = 45,084.80 : x
  2. Step 2: Convert to fraction form
    123,978.08/186,046.32 = 45,084.80/x
  3. Step 3: Cross multiply
    123,978.08x = 186,046.32 × 45,084.80
  4. Step 4: Simplify right side
    123,978.08x = 8,387,861,127.94
  5. Step 5: Solve for x
    x = 8,387,861,127.94/123,978.08
  6. Step 6: Final answer
    x = 67,656.00

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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.