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Finding the Fourth Proportional to 178,279.88, 245,982.17 and 105,699.80

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Solution

The fourth proportional to 178,279.88, 245,982.17 and 105,699.80 is: 145,839.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,279.88 : 245,982.17 = 105,699.80 : x
  2. Step 2: Convert to fraction form
    178,279.88/245,982.17 = 105,699.80/x
  3. Step 3: Cross multiply
    178,279.88x = 245,982.17 × 105,699.80
  4. Step 4: Simplify right side
    178,279.88x = 26,000,267,051.77
  5. Step 5: Solve for x
    x = 26,000,267,051.77/178,279.88
  6. Step 6: Final answer
    x = 145,839.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.