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Finding the Fourth Proportional to 105,315.80, 157,743.30 and 91,491.80

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Solution

The fourth proportional to 105,315.80, 157,743.30 and 91,491.80 is: 137,037.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,315.80 : 157,743.30 = 91,491.80 : x
  2. Step 2: Convert to fraction form
    105,315.80/157,743.30 = 91,491.80/x
  3. Step 3: Cross multiply
    105,315.80x = 157,743.30 × 91,491.80
  4. Step 4: Simplify right side
    105,315.80x = 14,432,218,454.94
  5. Step 5: Solve for x
    x = 14,432,218,454.94/105,315.80
  6. Step 6: Final answer
    x = 137,037.54

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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.