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Finding the Fourth Proportional to 54,008.48, 80,746.50 and 45,780.50

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Solution

The fourth proportional to 54,008.48, 80,746.50 and 45,780.50 is: 68,445.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,008.48 : 80,746.50 = 45,780.50 : x
  2. Step 2: Convert to fraction form
    54,008.48/80,746.50 = 45,780.50/x
  3. Step 3: Cross multiply
    54,008.48x = 80,746.50 × 45,780.50
  4. Step 4: Simplify right side
    54,008.48x = 3,696,615,143.25
  5. Step 5: Solve for x
    x = 3,696,615,143.25/54,008.48
  6. Step 6: Final answer
    x = 68,445.09

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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.