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Finding the Fourth Proportional to 157,764.64, 217,715.28 and 90,692.64

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Solution

The fourth proportional to 157,764.64, 217,715.28 and 90,692.64 is: 125,155.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,764.64 : 217,715.28 = 90,692.64 : x
  2. Step 2: Convert to fraction form
    157,764.64/217,715.28 = 90,692.64/x
  3. Step 3: Cross multiply
    157,764.64x = 217,715.28 × 90,692.64
  4. Step 4: Simplify right side
    157,764.64x = 19,745,173,511.54
  5. Step 5: Solve for x
    x = 19,745,173,511.54/157,764.64
  6. Step 6: Final answer
    x = 125,155.89

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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.