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Finding the Fourth Proportional to 142,381.49, 196,486.79 and 77,854.91

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Solution

The fourth proportional to 142,381.49, 196,486.79 and 77,854.91 is: 107,439.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,381.49 : 196,486.79 = 77,854.91 : x
  2. Step 2: Convert to fraction form
    142,381.49/196,486.79 = 77,854.91/x
  3. Step 3: Cross multiply
    142,381.49x = 196,486.79 × 77,854.91
  4. Step 4: Simplify right side
    142,381.49x = 15,297,459,979.93
  5. Step 5: Solve for x
    x = 15,297,459,979.93/142,381.49
  6. Step 6: Final answer
    x = 107,439.95

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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.