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Finding the Fourth Proportional to 86,302.92, 129,454.38 and 49,341

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Solution

The fourth proportional to 86,302.92, 129,454.38 and 49,341 is: 74,011.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,302.92 : 129,454.38 = 49,341 : x
  2. Step 2: Convert to fraction form
    86,302.92/129,454.38 = 49,341/x
  3. Step 3: Cross multiply
    86,302.92x = 129,454.38 × 49,341
  4. Step 4: Simplify right side
    86,302.92x = 6,387,408,563.58
  5. Step 5: Solve for x
    x = 6,387,408,563.58/86,302.92
  6. Step 6: Final answer
    x = 74,011.50

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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.