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Finding the Fourth Proportional to 86,818.50, 130,228.02 and 24,489

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Solution

The fourth proportional to 86,818.50, 130,228.02 and 24,489 is: 36,733.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,818.50 : 130,228.02 = 24,489 : x
  2. Step 2: Convert to fraction form
    86,818.50/130,228.02 = 24,489/x
  3. Step 3: Cross multiply
    86,818.50x = 130,228.02 × 24,489
  4. Step 4: Simplify right side
    86,818.50x = 3,189,153,981.78
  5. Step 5: Solve for x
    x = 3,189,153,981.78/86,818.50
  6. Step 6: Final answer
    x = 36,733.58

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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.