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Finding the Fourth Proportional to 86,983.48, 130,479.90 and 24,649

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Solution

The fourth proportional to 86,983.48, 130,479.90 and 24,649 is: 36,974.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,983.48 : 130,479.90 = 24,649 : x
  2. Step 2: Convert to fraction form
    86,983.48/130,479.90 = 24,649/x
  3. Step 3: Cross multiply
    86,983.48x = 130,479.90 × 24,649
  4. Step 4: Simplify right side
    86,983.48x = 3,216,199,055.10
  5. Step 5: Solve for x
    x = 3,216,199,055.10/86,983.48
  6. Step 6: Final answer
    x = 36,974.83

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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.