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Finding the Fourth Proportional to 103,002, 142,147.08 and 58,290

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Solution

The fourth proportional to 103,002, 142,147.08 and 58,290 is: 80,442.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,002 : 142,147.08 = 58,290 : x
  2. Step 2: Convert to fraction form
    103,002/142,147.08 = 58,290/x
  3. Step 3: Cross multiply
    103,002x = 142,147.08 × 58,290
  4. Step 4: Simplify right side
    103,002x = 8,285,753,293.20
  5. Step 5: Solve for x
    x = 8,285,753,293.20/103,002
  6. Step 6: Final answer
    x = 80,442.64

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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.