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Finding the Fourth Proportional to 100,287.34, 138,396.51 and 54,966.78

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Solution

The fourth proportional to 100,287.34, 138,396.51 and 54,966.78 is: 75,854.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,287.34 : 138,396.51 = 54,966.78 : x
  2. Step 2: Convert to fraction form
    100,287.34/138,396.51 = 54,966.78/x
  3. Step 3: Cross multiply
    100,287.34x = 138,396.51 × 54,966.78
  4. Step 4: Simplify right side
    100,287.34x = 7,607,210,205.99
  5. Step 5: Solve for x
    x = 7,607,210,205.99/100,287.34
  6. Step 6: Final answer
    x = 75,854.14

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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.