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Finding the Fourth Proportional to 86,990.40, 130,490.56 and 24,656

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Solution

The fourth proportional to 86,990.40, 130,490.56 and 24,656 is: 36,985.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,990.40 : 130,490.56 = 24,656 : x
  2. Step 2: Convert to fraction form
    86,990.40/130,490.56 = 24,656/x
  3. Step 3: Cross multiply
    86,990.40x = 130,490.56 × 24,656
  4. Step 4: Simplify right side
    86,990.40x = 3,217,375,247.36
  5. Step 5: Solve for x
    x = 3,217,375,247.36/86,990.40
  6. Step 6: Final answer
    x = 36,985.41

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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.