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Finding the Fourth Proportional to 67,854.29, 101,828.12 and 30,456.18

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Solution

The fourth proportional to 67,854.29, 101,828.12 and 30,456.18 is: 45,705.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,854.29 : 101,828.12 = 30,456.18 : x
  2. Step 2: Convert to fraction form
    67,854.29/101,828.12 = 30,456.18/x
  3. Step 3: Cross multiply
    67,854.29x = 101,828.12 × 30,456.18
  4. Step 4: Simplify right side
    67,854.29x = 3,101,295,399.50
  5. Step 5: Solve for x
    x = 3,101,295,399.50/67,854.29
  6. Step 6: Final answer
    x = 45,705.23

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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.