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Finding the Fourth Proportional to 102,668.78, 154,003.59 and 31,590.96

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Solution

The fourth proportional to 102,668.78, 154,003.59 and 31,590.96 is: 47,386.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,668.78 : 154,003.59 = 31,590.96 : x
  2. Step 2: Convert to fraction form
    102,668.78/154,003.59 = 31,590.96/x
  3. Step 3: Cross multiply
    102,668.78x = 154,003.59 × 31,590.96
  4. Step 4: Simplify right side
    102,668.78x = 4,865,121,251.55
  5. Step 5: Solve for x
    x = 4,865,121,251.55/102,668.78
  6. Step 6: Final answer
    x = 47,386.57

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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.