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Finding the Fourth Proportional to 89,564.60, 123,515.24 and 55,578.60

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Solution

The fourth proportional to 89,564.60, 123,515.24 and 55,578.60 is: 76,646.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,564.60 : 123,515.24 = 55,578.60 : x
  2. Step 2: Convert to fraction form
    89,564.60/123,515.24 = 55,578.60/x
  3. Step 3: Cross multiply
    89,564.60x = 123,515.24 × 55,578.60
  4. Step 4: Simplify right side
    89,564.60x = 6,864,804,117.86
  5. Step 5: Solve for x
    x = 6,864,804,117.86/89,564.60
  6. Step 6: Final answer
    x = 76,646.40

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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.