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Finding the Fourth Proportional to 153,486.89, 230,281.58 and 68,085.97

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Solution

The fourth proportional to 153,486.89, 230,281.58 and 68,085.97 is: 102,151.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,486.89 : 230,281.58 = 68,085.97 : x
  2. Step 2: Convert to fraction form
    153,486.89/230,281.58 = 68,085.97/x
  3. Step 3: Cross multiply
    153,486.89x = 230,281.58 × 68,085.97
  4. Step 4: Simplify right side
    153,486.89x = 15,678,944,086.62
  5. Step 5: Solve for x
    x = 15,678,944,086.62/153,486.89
  6. Step 6: Final answer
    x = 102,151.68

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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.