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Finding the Fourth Proportional to 54,424.60, 81,632.10 and 14,978.20

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Solution

The fourth proportional to 54,424.60, 81,632.10 and 14,978.20 is: 22,465.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,424.60 : 81,632.10 = 14,978.20 : x
  2. Step 2: Convert to fraction form
    54,424.60/81,632.10 = 14,978.20/x
  3. Step 3: Cross multiply
    54,424.60x = 81,632.10 × 14,978.20
  4. Step 4: Simplify right side
    54,424.60x = 1,222,701,920.22
  5. Step 5: Solve for x
    x = 1,222,701,920.22/54,424.60
  6. Step 6: Final answer
    x = 22,465.98

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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.