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Finding the Fourth Proportional to 261,048.43, 391,621.65 and 83,507.77

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Solution

The fourth proportional to 261,048.43, 391,621.65 and 83,507.77 is: 125,277.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,048.43 : 391,621.65 = 83,507.77 : x
  2. Step 2: Convert to fraction form
    261,048.43/391,621.65 = 83,507.77/x
  3. Step 3: Cross multiply
    261,048.43x = 391,621.65 × 83,507.77
  4. Step 4: Simplify right side
    261,048.43x = 32,703,450,675.22
  5. Step 5: Solve for x
    x = 32,703,450,675.22/261,048.43
  6. Step 6: Final answer
    x = 125,277.33

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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.