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Finding the Fourth Proportional to 54,769.76, 75,582 and 29,619.20

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Solution

The fourth proportional to 54,769.76, 75,582 and 29,619.20 is: 40,874.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,769.76 : 75,582 = 29,619.20 : x
  2. Step 2: Convert to fraction form
    54,769.76/75,582 = 29,619.20/x
  3. Step 3: Cross multiply
    54,769.76x = 75,582 × 29,619.20
  4. Step 4: Simplify right side
    54,769.76x = 2,238,678,374.40
  5. Step 5: Solve for x
    x = 2,238,678,374.40/54,769.76
  6. Step 6: Final answer
    x = 40,874.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.