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Finding the Fourth Proportional to 175,085.82, 262,710.74 and 86,290.92

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Solution

The fourth proportional to 175,085.82, 262,710.74 and 86,290.92 is: 129,476.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,085.82 : 262,710.74 = 86,290.92 : x
  2. Step 2: Convert to fraction form
    175,085.82/262,710.74 = 86,290.92/x
  3. Step 3: Cross multiply
    175,085.82x = 262,710.74 × 86,290.92
  4. Step 4: Simplify right side
    175,085.82x = 22,669,551,664.21
  5. Step 5: Solve for x
    x = 22,669,551,664.21/175,085.82
  6. Step 6: Final answer
    x = 129,476.80

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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.