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Finding the Fourth Proportional to 102,930, 142,047.24 and 58,217.04

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Solution

The fourth proportional to 102,930, 142,047.24 and 58,217.04 is: 80,341.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,930 : 142,047.24 = 58,217.04 : x
  2. Step 2: Convert to fraction form
    102,930/142,047.24 = 58,217.04/x
  3. Step 3: Cross multiply
    102,930x = 142,047.24 × 58,217.04
  4. Step 4: Simplify right side
    102,930x = 8,269,569,852.97
  5. Step 5: Solve for x
    x = 8,269,569,852.97/102,930
  6. Step 6: Final answer
    x = 80,341.69

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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.