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Finding the Fourth Proportional to 142,394.32, 196,502.01 and 77,863.77

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Solution

The fourth proportional to 142,394.32, 196,502.01 and 77,863.77 is: 107,450.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,394.32 : 196,502.01 = 77,863.77 : x
  2. Step 2: Convert to fraction form
    142,394.32/196,502.01 = 77,863.77/x
  3. Step 3: Cross multiply
    142,394.32x = 196,502.01 × 77,863.77
  4. Step 4: Simplify right side
    142,394.32x = 15,300,387,311.18
  5. Step 5: Solve for x
    x = 15,300,387,311.18/142,394.32
  6. Step 6: Final answer
    x = 107,450.83

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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.