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Finding the Fourth Proportional to 142,017.78, 195,985.60 and 78,357.90

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Solution

The fourth proportional to 142,017.78, 195,985.60 and 78,357.90 is: 108,134.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,017.78 : 195,985.60 = 78,357.90 : x
  2. Step 2: Convert to fraction form
    142,017.78/195,985.60 = 78,357.90/x
  3. Step 3: Cross multiply
    142,017.78x = 195,985.60 × 78,357.90
  4. Step 4: Simplify right side
    142,017.78x = 15,357,020,046.24
  5. Step 5: Solve for x
    x = 15,357,020,046.24/142,017.78
  6. Step 6: Final answer
    x = 108,134.49

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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.