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Finding the Fourth Proportional to 84,074.16, 126,070.28 and 30,020.40

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Solution

The fourth proportional to 84,074.16, 126,070.28 and 30,020.40 is: 45,015.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,074.16 : 126,070.28 = 30,020.40 : x
  2. Step 2: Convert to fraction form
    84,074.16/126,070.28 = 30,020.40/x
  3. Step 3: Cross multiply
    84,074.16x = 126,070.28 × 30,020.40
  4. Step 4: Simplify right side
    84,074.16x = 3,784,680,233.71
  5. Step 5: Solve for x
    x = 3,784,680,233.71/84,074.16
  6. Step 6: Final answer
    x = 45,015.97

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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.