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Finding the Fourth Proportional to 101,458.58, 140,146.61 and 77,876.64

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Solution

The fourth proportional to 101,458.58, 140,146.61 and 77,876.64 is: 107,572.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,458.58 : 140,146.61 = 77,876.64 : x
  2. Step 2: Convert to fraction form
    101,458.58/140,146.61 = 77,876.64/x
  3. Step 3: Cross multiply
    101,458.58x = 140,146.61 × 77,876.64
  4. Step 4: Simplify right side
    101,458.58x = 10,914,146,704.81
  5. Step 5: Solve for x
    x = 10,914,146,704.81/101,458.58
  6. Step 6: Final answer
    x = 107,572.44

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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.