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Finding the Fourth Proportional to 105,710.46, 158,565.69 and 31,838.46

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Solution

The fourth proportional to 105,710.46, 158,565.69 and 31,838.46 is: 47,757.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,710.46 : 158,565.69 = 31,838.46 : x
  2. Step 2: Convert to fraction form
    105,710.46/158,565.69 = 31,838.46/x
  3. Step 3: Cross multiply
    105,710.46x = 158,565.69 × 31,838.46
  4. Step 4: Simplify right side
    105,710.46x = 5,048,487,378.44
  5. Step 5: Solve for x
    x = 5,048,487,378.44/105,710.46
  6. Step 6: Final answer
    x = 47,757.69

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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.