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Finding the Fourth Proportional to 100,569.76, 138,805.76 and 66,578.88

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Solution

The fourth proportional to 100,569.76, 138,805.76 and 66,578.88 is: 91,891.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,569.76 : 138,805.76 = 66,578.88 : x
  2. Step 2: Convert to fraction form
    100,569.76/138,805.76 = 66,578.88/x
  3. Step 3: Cross multiply
    100,569.76x = 138,805.76 × 66,578.88
  4. Step 4: Simplify right side
    100,569.76x = 9,241,532,038.35
  5. Step 5: Solve for x
    x = 9,241,532,038.35/100,569.76
  6. Step 6: Final answer
    x = 91,891.76

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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.