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Finding the Fourth Proportional to 142,866.12, 197,159.92 and 79,209.84

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Solution

The fourth proportional to 142,866.12, 197,159.92 and 79,209.84 is: 109,312.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,866.12 : 197,159.92 = 79,209.84 : x
  2. Step 2: Convert to fraction form
    142,866.12/197,159.92 = 79,209.84/x
  3. Step 3: Cross multiply
    142,866.12x = 197,159.92 × 79,209.84
  4. Step 4: Simplify right side
    142,866.12x = 15,617,005,717.61
  5. Step 5: Solve for x
    x = 15,617,005,717.61/142,866.12
  6. Step 6: Final answer
    x = 109,312.17

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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.