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Finding the Fourth Proportional to 140,084, 193,319.36 and 76,427.84

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Solution

The fourth proportional to 140,084, 193,319.36 and 76,427.84 is: 105,472.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,084 : 193,319.36 = 76,427.84 : x
  2. Step 2: Convert to fraction form
    140,084/193,319.36 = 76,427.84/x
  3. Step 3: Cross multiply
    140,084x = 193,319.36 × 76,427.84
  4. Step 4: Simplify right side
    140,084x = 14,774,981,114.98
  5. Step 5: Solve for x
    x = 14,774,981,114.98/140,084
  6. Step 6: Final answer
    x = 105,472.30

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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.