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Finding the Fourth Proportional to 102,116.52, 153,018.30 and 68,713

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Solution

The fourth proportional to 102,116.52, 153,018.30 and 68,713 is: 102,964.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,116.52 : 153,018.30 = 68,713 : x
  2. Step 2: Convert to fraction form
    102,116.52/153,018.30 = 68,713/x
  3. Step 3: Cross multiply
    102,116.52x = 153,018.30 × 68,713
  4. Step 4: Simplify right side
    102,116.52x = 10,514,346,447.90
  5. Step 5: Solve for x
    x = 10,514,346,447.90/102,116.52
  6. Step 6: Final answer
    x = 102,964.21

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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.