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Finding the Fourth Proportional to 142,024.60, 213,036.90 and 71,894.80

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Solution

The fourth proportional to 142,024.60, 213,036.90 and 71,894.80 is: 107,842.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,024.60 : 213,036.90 = 71,894.80 : x
  2. Step 2: Convert to fraction form
    142,024.60/213,036.90 = 71,894.80/x
  3. Step 3: Cross multiply
    142,024.60x = 213,036.90 × 71,894.80
  4. Step 4: Simplify right side
    142,024.60x = 15,316,245,318.12
  5. Step 5: Solve for x
    x = 15,316,245,318.12/142,024.60
  6. Step 6: Final answer
    x = 107,842.20

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1.5x scale

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.