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Finding the Fourth Proportional to 85,397.85, 128,097.21 and 35,478

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Solution

The fourth proportional to 85,397.85, 128,097.21 and 35,478 is: 53,217.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,397.85 : 128,097.21 = 35,478 : x
  2. Step 2: Convert to fraction form
    85,397.85/128,097.21 = 35,478/x
  3. Step 3: Cross multiply
    85,397.85x = 128,097.21 × 35,478
  4. Step 4: Simplify right side
    85,397.85x = 4,544,632,816.38
  5. Step 5: Solve for x
    x = 4,544,632,816.38/85,397.85
  6. Step 6: Final answer
    x = 53,217.18

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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.