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Finding the Fourth Proportional to 275,971.16, 414,002.84 and 86,393.80

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Solution

The fourth proportional to 275,971.16, 414,002.84 and 86,393.80 is: 129,605.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,971.16 : 414,002.84 = 86,393.80 : x
  2. Step 2: Convert to fraction form
    275,971.16/414,002.84 = 86,393.80/x
  3. Step 3: Cross multiply
    275,971.16x = 414,002.84 × 86,393.80
  4. Step 4: Simplify right side
    275,971.16x = 35,767,278,967.90
  5. Step 5: Solve for x
    x = 35,767,278,967.90/275,971.16
  6. Step 6: Final answer
    x = 129,605.13

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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.