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Finding the Fourth Proportional to 261,083.75, 391,663 and 99,037.38

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Solution

The fourth proportional to 261,083.75, 391,663 and 99,037.38 is: 148,570.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,083.75 : 391,663 = 99,037.38 : x
  2. Step 2: Convert to fraction form
    261,083.75/391,663 = 99,037.38/x
  3. Step 3: Cross multiply
    261,083.75x = 391,663 × 99,037.38
  4. Step 4: Simplify right side
    261,083.75x = 38,789,277,362.94
  5. Step 5: Solve for x
    x = 38,789,277,362.94/261,083.75
  6. Step 6: Final answer
    x = 148,570.25

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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.