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Finding the Fourth Proportional to 142,017.14, 195,978.20 and 78,353.84

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Solution

The fourth proportional to 142,017.14, 195,978.20 and 78,353.84 is: 108,125.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,017.14 : 195,978.20 = 78,353.84 : x
  2. Step 2: Convert to fraction form
    142,017.14/195,978.20 = 78,353.84/x
  3. Step 3: Cross multiply
    142,017.14x = 195,978.20 × 78,353.84
  4. Step 4: Simplify right side
    142,017.14x = 15,355,644,526.29
  5. Step 5: Solve for x
    x = 15,355,644,526.29/142,017.14
  6. Step 6: Final answer
    x = 108,125.29

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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.