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Finding the Fourth Proportional to 78,283.86, 108,108.42 and 54,146.64

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Solution

The fourth proportional to 78,283.86, 108,108.42 and 54,146.64 is: 74,775.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,283.86 : 108,108.42 = 54,146.64 : x
  2. Step 2: Convert to fraction form
    78,283.86/108,108.42 = 54,146.64/x
  3. Step 3: Cross multiply
    78,283.86x = 108,108.42 × 54,146.64
  4. Step 4: Simplify right side
    78,283.86x = 5,853,707,698.71
  5. Step 5: Solve for x
    x = 5,853,707,698.71/78,283.86
  6. Step 6: Final answer
    x = 74,775.41

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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.