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Finding the Fourth Proportional to 261,083.25, 391,662.25 and 99,036.88

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Solution

The fourth proportional to 261,083.25, 391,662.25 and 99,036.88 is: 148,569.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,083.25 : 391,662.25 = 99,036.88 : x
  2. Step 2: Convert to fraction form
    261,083.25/391,662.25 = 99,036.88/x
  3. Step 3: Cross multiply
    261,083.25x = 391,662.25 × 99,036.88
  4. Step 4: Simplify right side
    261,083.25x = 38,789,006,027.03
  5. Step 5: Solve for x
    x = 38,789,006,027.03/261,083.25
  6. Step 6: Final answer
    x = 148,569.49

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1.5x scale

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.