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Finding the Fourth Proportional to 142,658.61, 196,866.46 and 78,995.04

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Solution

The fourth proportional to 142,658.61, 196,866.46 and 78,995.04 is: 109,011.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,658.61 : 196,866.46 = 78,995.04 : x
  2. Step 2: Convert to fraction form
    142,658.61/196,866.46 = 78,995.04/x
  3. Step 3: Cross multiply
    142,658.61x = 196,866.46 × 78,995.04
  4. Step 4: Simplify right side
    142,658.61x = 15,551,473,882.36
  5. Step 5: Solve for x
    x = 15,551,473,882.36/142,658.61
  6. Step 6: Final answer
    x = 109,011.81

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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.