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Finding the Fourth Proportional to 261,010.10, 391,569.15 and 148,744.10

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Solution

The fourth proportional to 261,010.10, 391,569.15 and 148,744.10 is: 223,146.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,010.10 : 391,569.15 = 148,744.10 : x
  2. Step 2: Convert to fraction form
    261,010.10/391,569.15 = 148,744.10/x
  3. Step 3: Cross multiply
    261,010.10x = 391,569.15 × 148,744.10
  4. Step 4: Simplify right side
    261,010.10x = 58,243,600,804.52
  5. Step 5: Solve for x
    x = 58,243,600,804.52/261,010.10
  6. Step 6: Final answer
    x = 223,146.92

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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.