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Finding the Fourth Proportional to 187,393.74, 280,640.17 and 107,188.53

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Solution

The fourth proportional to 187,393.74, 280,640.17 and 107,188.53 is: 160,525.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,393.74 : 280,640.17 = 107,188.53 : x
  2. Step 2: Convert to fraction form
    187,393.74/280,640.17 = 107,188.53/x
  3. Step 3: Cross multiply
    187,393.74x = 280,640.17 × 107,188.53
  4. Step 4: Simplify right side
    187,393.74x = 30,081,407,281.25
  5. Step 5: Solve for x
    x = 30,081,407,281.25/187,393.74
  6. Step 6: Final answer
    x = 160,525.14

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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.