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Finding the Fourth Proportional to 107,601.40, 161,402.10 and 77,879.80

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Solution

The fourth proportional to 107,601.40, 161,402.10 and 77,879.80 is: 116,819.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,601.40 : 161,402.10 = 77,879.80 : x
  2. Step 2: Convert to fraction form
    107,601.40/161,402.10 = 77,879.80/x
  3. Step 3: Cross multiply
    107,601.40x = 161,402.10 × 77,879.80
  4. Step 4: Simplify right side
    107,601.40x = 12,569,963,267.58
  5. Step 5: Solve for x
    x = 12,569,963,267.58/107,601.40
  6. Step 6: Final answer
    x = 116,819.70

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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.