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Finding the Fourth Proportional to 84,425.92, 126,547.74 and 54,864.96

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Solution

The fourth proportional to 84,425.92, 126,547.74 and 54,864.96 is: 82,238.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,425.92 : 126,547.74 = 54,864.96 : x
  2. Step 2: Convert to fraction form
    84,425.92/126,547.74 = 54,864.96/x
  3. Step 3: Cross multiply
    84,425.92x = 126,547.74 × 54,864.96
  4. Step 4: Simplify right side
    84,425.92x = 6,943,036,693.19
  5. Step 5: Solve for x
    x = 6,943,036,693.19/84,425.92
  6. Step 6: Final answer
    x = 82,238.21

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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.