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Finding the Fourth Proportional to 142,280.31, 196,344.39 and 77,748.11

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Solution

The fourth proportional to 142,280.31, 196,344.39 and 77,748.11 is: 107,291.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,280.31 : 196,344.39 = 77,748.11 : x
  2. Step 2: Convert to fraction form
    142,280.31/196,344.39 = 77,748.11/x
  3. Step 3: Cross multiply
    142,280.31x = 196,344.39 × 77,748.11
  4. Step 4: Simplify right side
    142,280.31x = 15,265,405,231.60
  5. Step 5: Solve for x
    x = 15,265,405,231.60/142,280.31
  6. Step 6: Final answer
    x = 107,291.06

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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.