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Finding the Fourth Proportional to 142,951.84, 197,272.24 and 79,289.76

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Solution

The fourth proportional to 142,951.84, 197,272.24 and 79,289.76 is: 109,419.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,951.84 : 197,272.24 = 79,289.76 : x
  2. Step 2: Convert to fraction form
    142,951.84/197,272.24 = 79,289.76/x
  3. Step 3: Cross multiply
    142,951.84x = 197,272.24 × 79,289.76
  4. Step 4: Simplify right side
    142,951.84x = 15,641,668,564.26
  5. Step 5: Solve for x
    x = 15,641,668,564.26/142,951.84
  6. Step 6: Final answer
    x = 109,419.15

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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.