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Finding the Fourth Proportional to 105,363.64, 158,036.82 and 31,491.64

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Solution

The fourth proportional to 105,363.64, 158,036.82 and 31,491.64 is: 47,234.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,363.64 : 158,036.82 = 31,491.64 : x
  2. Step 2: Convert to fraction form
    105,363.64/158,036.82 = 31,491.64/x
  3. Step 3: Cross multiply
    105,363.64x = 158,036.82 × 31,491.64
  4. Step 4: Simplify right side
    105,363.64x = 4,976,838,642.18
  5. Step 5: Solve for x
    x = 4,976,838,642.18/105,363.64
  6. Step 6: Final answer
    x = 47,234.88

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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.