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Finding the Fourth Proportional to 103,002.32, 142,161 and 58,290.32

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Solution

The fourth proportional to 103,002.32, 142,161 and 58,290.32 is: 80,450.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,002.32 : 142,161 = 58,290.32 : x
  2. Step 2: Convert to fraction form
    103,002.32/142,161 = 58,290.32/x
  3. Step 3: Cross multiply
    103,002.32x = 142,161 × 58,290.32
  4. Step 4: Simplify right side
    103,002.32x = 8,286,610,181.52
  5. Step 5: Solve for x
    x = 8,286,610,181.52/103,002.32
  6. Step 6: Final answer
    x = 80,450.71

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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.