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Finding the Fourth Proportional to 102,714.65, 153,820.45 and 84,835.92

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Solution

The fourth proportional to 102,714.65, 153,820.45 and 84,835.92 is: 127,046.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,714.65 : 153,820.45 = 84,835.92 : x
  2. Step 2: Convert to fraction form
    102,714.65/153,820.45 = 84,835.92/x
  3. Step 3: Cross multiply
    102,714.65x = 153,820.45 × 84,835.92
  4. Step 4: Simplify right side
    102,714.65x = 13,049,500,073.44
  5. Step 5: Solve for x
    x = 13,049,500,073.44/102,714.65
  6. Step 6: Final answer
    x = 127,046.14

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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.