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Finding the Fourth Proportional to 54,792.40, 82,285.80 and 42,342.70

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Solution

The fourth proportional to 54,792.40, 82,285.80 and 42,342.70 is: 63,589.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,792.40 : 82,285.80 = 42,342.70 : x
  2. Step 2: Convert to fraction form
    54,792.40/82,285.80 = 42,342.70/x
  3. Step 3: Cross multiply
    54,792.40x = 82,285.80 × 42,342.70
  4. Step 4: Simplify right side
    54,792.40x = 3,484,202,943.66
  5. Step 5: Solve for x
    x = 3,484,202,943.66/54,792.40
  6. Step 6: Final answer
    x = 63,589.16

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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.