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Finding the Fourth Proportional to 78,660.78, 108,592.11 and 53,301.16

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Solution

The fourth proportional to 78,660.78, 108,592.11 and 53,301.16 is: 73,582.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,660.78 : 108,592.11 = 53,301.16 : x
  2. Step 2: Convert to fraction form
    78,660.78/108,592.11 = 53,301.16/x
  3. Step 3: Cross multiply
    78,660.78x = 108,592.11 × 53,301.16
  4. Step 4: Simplify right side
    78,660.78x = 5,788,085,429.85
  5. Step 5: Solve for x
    x = 5,788,085,429.85/78,660.78
  6. Step 6: Final answer
    x = 73,582.86

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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.