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Finding the Fourth Proportional to 142,393.47, 196,506.92 and 78,733.54

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Solution

The fourth proportional to 142,393.47, 196,506.92 and 78,733.54 is: 108,654.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,393.47 : 196,506.92 = 78,733.54 : x
  2. Step 2: Convert to fraction form
    142,393.47/196,506.92 = 78,733.54/x
  3. Step 3: Cross multiply
    142,393.47x = 196,506.92 × 78,733.54
  4. Step 4: Simplify right side
    142,393.47x = 15,471,685,446.10
  5. Step 5: Solve for x
    x = 15,471,685,446.10/142,393.47
  6. Step 6: Final answer
    x = 108,654.46

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1.5x scale

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.