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Finding the Fourth Proportional to 86,250, 129,375 and 23,920.50

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Solution

The fourth proportional to 86,250, 129,375 and 23,920.50 is: 35,880.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,250 : 129,375 = 23,920.50 : x
  2. Step 2: Convert to fraction form
    86,250/129,375 = 23,920.50/x
  3. Step 3: Cross multiply
    86,250x = 129,375 × 23,920.50
  4. Step 4: Simplify right side
    86,250x = 3,094,714,687.50
  5. Step 5: Solve for x
    x = 3,094,714,687.50/86,250
  6. Step 6: Final answer
    x = 35,880.75

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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.