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Finding the Fourth Proportional to 86,672.50, 130,008.78 and 24,343

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Solution

The fourth proportional to 86,672.50, 130,008.78 and 24,343 is: 36,514.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,672.50 : 130,008.78 = 24,343 : x
  2. Step 2: Convert to fraction form
    86,672.50/130,008.78 = 24,343/x
  3. Step 3: Cross multiply
    86,672.50x = 130,008.78 × 24,343
  4. Step 4: Simplify right side
    86,672.50x = 3,164,803,731.54
  5. Step 5: Solve for x
    x = 3,164,803,731.54/86,672.50
  6. Step 6: Final answer
    x = 36,514.51

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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.