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Finding the Fourth Proportional to 103,212.80, 142,444.80 and 58,496

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Solution

The fourth proportional to 103,212.80, 142,444.80 and 58,496 is: 80,730.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,212.80 : 142,444.80 = 58,496 : x
  2. Step 2: Convert to fraction form
    103,212.80/142,444.80 = 58,496/x
  3. Step 3: Cross multiply
    103,212.80x = 142,444.80 × 58,496
  4. Step 4: Simplify right side
    103,212.80x = 8,332,451,020.80
  5. Step 5: Solve for x
    x = 8,332,451,020.80/103,212.80
  6. Step 6: Final answer
    x = 80,730.79

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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.