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Finding the Fourth Proportional to 105,360.75, 158,041.13 and 31,488.75

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Solution

The fourth proportional to 105,360.75, 158,041.13 and 31,488.75 is: 47,233.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,360.75 : 158,041.13 = 31,488.75 : x
  2. Step 2: Convert to fraction form
    105,360.75/158,041.13 = 31,488.75/x
  3. Step 3: Cross multiply
    105,360.75x = 158,041.13 × 31,488.75
  4. Step 4: Simplify right side
    105,360.75x = 4,976,517,474.84
  5. Step 5: Solve for x
    x = 4,976,517,474.84/105,360.75
  6. Step 6: Final answer
    x = 47,233.13

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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.