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Finding the Fourth Proportional to 102,874.75, 154,312.17 and 43,668.91

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Solution

The fourth proportional to 102,874.75, 154,312.17 and 43,668.91 is: 65,503.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,874.75 : 154,312.17 = 43,668.91 : x
  2. Step 2: Convert to fraction form
    102,874.75/154,312.17 = 43,668.91/x
  3. Step 3: Cross multiply
    102,874.75x = 154,312.17 × 43,668.91
  4. Step 4: Simplify right side
    102,874.75x = 6,738,644,263.63
  5. Step 5: Solve for x
    x = 6,738,644,263.63/102,874.75
  6. Step 6: Final answer
    x = 65,503.38

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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.