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Finding the Fourth Proportional to 75,154.71, 112,728.56 and 30,770.49

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Solution

The fourth proportional to 75,154.71, 112,728.56 and 30,770.49 is: 46,154.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,154.71 : 112,728.56 = 30,770.49 : x
  2. Step 2: Convert to fraction form
    75,154.71/112,728.56 = 30,770.49/x
  3. Step 3: Cross multiply
    75,154.71x = 112,728.56 × 30,770.49
  4. Step 4: Simplify right side
    75,154.71x = 3,468,712,874.34
  5. Step 5: Solve for x
    x = 3,468,712,874.34/75,154.71
  6. Step 6: Final answer
    x = 46,154.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.