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Finding the Fourth Proportional to 142,574.34, 196,751.84 and 78,911.96

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Solution

The fourth proportional to 142,574.34, 196,751.84 and 78,911.96 is: 108,898.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,574.34 : 196,751.84 = 78,911.96 : x
  2. Step 2: Convert to fraction form
    142,574.34/196,751.84 = 78,911.96/x
  3. Step 3: Cross multiply
    142,574.34x = 196,751.84 × 78,911.96
  4. Step 4: Simplify right side
    142,574.34x = 15,526,073,328.01
  5. Step 5: Solve for x
    x = 15,526,073,328.01/142,574.34
  6. Step 6: Final answer
    x = 108,898.09

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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.