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Finding the Fourth Proportional to 101,957.40, 140,696.33 and 56,638.31

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Solution

The fourth proportional to 101,957.40, 140,696.33 and 56,638.31 is: 78,158.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,957.40 : 140,696.33 = 56,638.31 : x
  2. Step 2: Convert to fraction form
    101,957.40/140,696.33 = 56,638.31/x
  3. Step 3: Cross multiply
    101,957.40x = 140,696.33 × 56,638.31
  4. Step 4: Simplify right side
    101,957.40x = 7,968,801,367.73
  5. Step 5: Solve for x
    x = 7,968,801,367.73/101,957.40
  6. Step 6: Final answer
    x = 78,158.15

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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.