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Finding the Fourth Proportional to 194,680, 292,051.59 and 76,287.16

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Solution

The fourth proportional to 194,680, 292,051.59 and 76,287.16 is: 114,443.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,680 : 292,051.59 = 76,287.16 : x
  2. Step 2: Convert to fraction form
    194,680/292,051.59 = 76,287.16/x
  3. Step 3: Cross multiply
    194,680x = 292,051.59 × 76,287.16
  4. Step 4: Simplify right side
    194,680x = 22,279,786,374.58
  5. Step 5: Solve for x
    x = 22,279,786,374.58/194,680
  6. Step 6: Final answer
    x = 114,443.12

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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.