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Finding the Fourth Proportional to 142,074.60, 213,209.10 and 78,894.60

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Solution

The fourth proportional to 142,074.60, 213,209.10 and 78,894.60 is: 118,395.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,074.60 : 213,209.10 = 78,894.60 : x
  2. Step 2: Convert to fraction form
    142,074.60/213,209.10 = 78,894.60/x
  3. Step 3: Cross multiply
    142,074.60x = 213,209.10 × 78,894.60
  4. Step 4: Simplify right side
    142,074.60x = 16,821,046,660.86
  5. Step 5: Solve for x
    x = 16,821,046,660.86/142,074.60
  6. Step 6: Final answer
    x = 118,395.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.