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Finding the Fourth Proportional to 142,583.04, 196,744 and 78,920.68

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Solution

The fourth proportional to 142,583.04, 196,744 and 78,920.68 is: 108,899.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,583.04 : 196,744 = 78,920.68 : x
  2. Step 2: Convert to fraction form
    142,583.04/196,744 = 78,920.68/x
  3. Step 3: Cross multiply
    142,583.04x = 196,744 × 78,920.68
  4. Step 4: Simplify right side
    142,583.04x = 15,527,170,265.92
  5. Step 5: Solve for x
    x = 15,527,170,265.92/142,583.04
  6. Step 6: Final answer
    x = 108,899.14

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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.