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Finding the Fourth Proportional to 147,085.68, 220,474.92 and 72,102

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Solution

The fourth proportional to 147,085.68, 220,474.92 and 72,102 is: 108,077.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,085.68 : 220,474.92 = 72,102 : x
  2. Step 2: Convert to fraction form
    147,085.68/220,474.92 = 72,102/x
  3. Step 3: Cross multiply
    147,085.68x = 220,474.92 × 72,102
  4. Step 4: Simplify right side
    147,085.68x = 15,896,682,681.84
  5. Step 5: Solve for x
    x = 15,896,682,681.84/147,085.68
  6. Step 6: Final answer
    x = 108,077.70

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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.