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Finding the Fourth Proportional to 142,117.57, 196,121.04 and 78,454

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Solution

The fourth proportional to 142,117.57, 196,121.04 and 78,454 is: 108,265.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,117.57 : 196,121.04 = 78,454 : x
  2. Step 2: Convert to fraction form
    142,117.57/196,121.04 = 78,454/x
  3. Step 3: Cross multiply
    142,117.57x = 196,121.04 × 78,454
  4. Step 4: Simplify right side
    142,117.57x = 15,386,480,072.16
  5. Step 5: Solve for x
    x = 15,386,480,072.16/142,117.57
  6. Step 6: Final answer
    x = 108,265.85

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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.