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Finding the Fourth Proportional to 115,101.10, 158,864.02 and 77,353.48

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Solution

The fourth proportional to 115,101.10, 158,864.02 and 77,353.48 is: 106,764.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,101.10 : 158,864.02 = 77,353.48 : x
  2. Step 2: Convert to fraction form
    115,101.10/158,864.02 = 77,353.48/x
  3. Step 3: Cross multiply
    115,101.10x = 158,864.02 × 77,353.48
  4. Step 4: Simplify right side
    115,101.10x = 12,288,684,793.79
  5. Step 5: Solve for x
    x = 12,288,684,793.79/115,101.10
  6. Step 6: Final answer
    x = 106,764.27

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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.