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Finding the Fourth Proportional to 204,840, 282,679.20 and 110,632

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Solution

The fourth proportional to 204,840, 282,679.20 and 110,632 is: 152,672.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,840 : 282,679.20 = 110,632 : x
  2. Step 2: Convert to fraction form
    204,840/282,679.20 = 110,632/x
  3. Step 3: Cross multiply
    204,840x = 282,679.20 × 110,632
  4. Step 4: Simplify right side
    204,840x = 31,273,365,254.40
  5. Step 5: Solve for x
    x = 31,273,365,254.40/204,840
  6. Step 6: Final answer
    x = 152,672.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.