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Finding the Fourth Proportional to 86,817.60, 130,213.44 and 24,480

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Solution

The fourth proportional to 86,817.60, 130,213.44 and 24,480 is: 36,716.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,817.60 : 130,213.44 = 24,480 : x
  2. Step 2: Convert to fraction form
    86,817.60/130,213.44 = 24,480/x
  3. Step 3: Cross multiply
    86,817.60x = 130,213.44 × 24,480
  4. Step 4: Simplify right side
    86,817.60x = 3,187,625,011.20
  5. Step 5: Solve for x
    x = 3,187,625,011.20/86,817.60
  6. Step 6: Final answer
    x = 36,716.35

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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.