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Finding the Fourth Proportional to 85,351.38, 128,052.69 and 40,407

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Solution

The fourth proportional to 85,351.38, 128,052.69 and 40,407 is: 60,622.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,351.38 : 128,052.69 = 40,407 : x
  2. Step 2: Convert to fraction form
    85,351.38/128,052.69 = 40,407/x
  3. Step 3: Cross multiply
    85,351.38x = 128,052.69 × 40,407
  4. Step 4: Simplify right side
    85,351.38x = 5,174,225,044.83
  5. Step 5: Solve for x
    x = 5,174,225,044.83/85,351.38
  6. Step 6: Final answer
    x = 60,622.63

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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.