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Finding the Fourth Proportional to 85,718, 128,660.14 and 41,376

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Solution

The fourth proportional to 85,718, 128,660.14 and 41,376 is: 62,104.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,718 : 128,660.14 = 41,376 : x
  2. Step 2: Convert to fraction form
    85,718/128,660.14 = 41,376/x
  3. Step 3: Cross multiply
    85,718x = 128,660.14 × 41,376
  4. Step 4: Simplify right side
    85,718x = 5,323,441,952.64
  5. Step 5: Solve for x
    x = 5,323,441,952.64/85,718
  6. Step 6: Final answer
    x = 62,104.13

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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.