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Finding the Fourth Proportional to 89,718, 123,803.52 and 51,489.24

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Solution

The fourth proportional to 89,718, 123,803.52 and 51,489.24 is: 71,050.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,718 : 123,803.52 = 51,489.24 : x
  2. Step 2: Convert to fraction form
    89,718/123,803.52 = 51,489.24/x
  3. Step 3: Cross multiply
    89,718x = 123,803.52 × 51,489.24
  4. Step 4: Simplify right side
    89,718x = 6,374,549,154.12
  5. Step 5: Solve for x
    x = 6,374,549,154.12/89,718
  6. Step 6: Final answer
    x = 71,050.95

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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.