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Finding the Fourth Proportional to 142,054, 196,034.34 and 78,391.80

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Solution

The fourth proportional to 142,054, 196,034.34 and 78,391.80 is: 108,180.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,054 : 196,034.34 = 78,391.80 : x
  2. Step 2: Convert to fraction form
    142,054/196,034.34 = 78,391.80/x
  3. Step 3: Cross multiply
    142,054x = 196,034.34 × 78,391.80
  4. Step 4: Simplify right side
    142,054x = 15,367,484,774.41
  5. Step 5: Solve for x
    x = 15,367,484,774.41/142,054
  6. Step 6: Final answer
    x = 108,180.58

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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.