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Finding the Fourth Proportional to 100,470.38, 138,649.12 and 55,758.38

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Solution

The fourth proportional to 100,470.38, 138,649.12 and 55,758.38 is: 76,946.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,470.38 : 138,649.12 = 55,758.38 : x
  2. Step 2: Convert to fraction form
    100,470.38/138,649.12 = 55,758.38/x
  3. Step 3: Cross multiply
    100,470.38x = 138,649.12 × 55,758.38
  4. Step 4: Simplify right side
    100,470.38x = 7,730,849,486.98
  5. Step 5: Solve for x
    x = 7,730,849,486.98/100,470.38
  6. Step 6: Final answer
    x = 76,946.56

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1.5x scale

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.