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Finding the Fourth Proportional to 76,554.30, 114,714.81 and 39,112.86

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Solution

The fourth proportional to 76,554.30, 114,714.81 and 39,112.86 is: 58,609.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,554.30 : 114,714.81 = 39,112.86 : x
  2. Step 2: Convert to fraction form
    76,554.30/114,714.81 = 39,112.86/x
  3. Step 3: Cross multiply
    76,554.30x = 114,714.81 × 39,112.86
  4. Step 4: Simplify right side
    76,554.30x = 4,486,824,303.46
  5. Step 5: Solve for x
    x = 4,486,824,303.46/76,554.30
  6. Step 6: Final answer
    x = 58,609.70

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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.