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Finding the Fourth Proportional to 100,470.80, 138,559.56 and 75,038.76

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Solution

The fourth proportional to 100,470.80, 138,559.56 and 75,038.76 is: 103,486.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,470.80 : 138,559.56 = 75,038.76 : x
  2. Step 2: Convert to fraction form
    100,470.80/138,559.56 = 75,038.76/x
  3. Step 3: Cross multiply
    100,470.80x = 138,559.56 × 75,038.76
  4. Step 4: Simplify right side
    100,470.80x = 10,397,337,568.55
  5. Step 5: Solve for x
    x = 10,397,337,568.55/100,470.80
  6. Step 6: Final answer
    x = 103,486.16

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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.