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Finding the Fourth Proportional to 54,463.76, 81,698.32 and 15,020

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Solution

The fourth proportional to 54,463.76, 81,698.32 and 15,020 is: 22,530.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,463.76 : 81,698.32 = 15,020 : x
  2. Step 2: Convert to fraction form
    54,463.76/81,698.32 = 15,020/x
  3. Step 3: Cross multiply
    54,463.76x = 81,698.32 × 15,020
  4. Step 4: Simplify right side
    54,463.76x = 1,227,108,766.40
  5. Step 5: Solve for x
    x = 1,227,108,766.40/54,463.76
  6. Step 6: Final answer
    x = 22,530.74

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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.