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Finding the Fourth Proportional to 85,680, 128,520 and 23,350.50

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Solution

The fourth proportional to 85,680, 128,520 and 23,350.50 is: 35,025.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,680 : 128,520 = 23,350.50 : x
  2. Step 2: Convert to fraction form
    85,680/128,520 = 23,350.50/x
  3. Step 3: Cross multiply
    85,680x = 128,520 × 23,350.50
  4. Step 4: Simplify right side
    85,680x = 3,001,006,260
  5. Step 5: Solve for x
    x = 3,001,006,260/85,680
  6. Step 6: Final answer
    x = 35,025.75

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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.