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Finding the Fourth Proportional to 105,720.95, 158,510.67 and 55,748.27

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Solution

The fourth proportional to 105,720.95, 158,510.67 and 55,748.27 is: 83,585.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,720.95 : 158,510.67 = 55,748.27 : x
  2. Step 2: Convert to fraction form
    105,720.95/158,510.67 = 55,748.27/x
  3. Step 3: Cross multiply
    105,720.95x = 158,510.67 × 55,748.27
  4. Step 4: Simplify right side
    105,720.95x = 8,836,694,836.49
  5. Step 5: Solve for x
    x = 8,836,694,836.49/105,720.95
  6. Step 6: Final answer
    x = 83,585.09

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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.