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Finding the Fourth Proportional to 106,001.03, 158,739.11 and 77,854.34

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Solution

The fourth proportional to 106,001.03, 158,739.11 and 77,854.34 is: 116,588.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,001.03 : 158,739.11 = 77,854.34 : x
  2. Step 2: Convert to fraction form
    106,001.03/158,739.11 = 77,854.34/x
  3. Step 3: Cross multiply
    106,001.03x = 158,739.11 × 77,854.34
  4. Step 4: Simplify right side
    106,001.03x = 12,358,528,251.97
  5. Step 5: Solve for x
    x = 12,358,528,251.97/106,001.03
  6. Step 6: Final answer
    x = 116,588.76

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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.