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Finding the Fourth Proportional to 147,701.86, 203,827.53 and 80,633.86

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Solution

The fourth proportional to 147,701.86, 203,827.53 and 80,633.86 is: 111,274.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,701.86 : 203,827.53 = 80,633.86 : x
  2. Step 2: Convert to fraction form
    147,701.86/203,827.53 = 80,633.86/x
  3. Step 3: Cross multiply
    147,701.86x = 203,827.53 × 80,633.86
  4. Step 4: Simplify right side
    147,701.86x = 16,435,400,518.17
  5. Step 5: Solve for x
    x = 16,435,400,518.17/147,701.86
  6. Step 6: Final answer
    x = 111,274.16

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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.