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Finding the Fourth Proportional to 147,638.66, 203,741.61 and 80,570.66

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Solution

The fourth proportional to 147,638.66, 203,741.61 and 80,570.66 is: 111,187.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,638.66 : 203,741.61 = 80,570.66 : x
  2. Step 2: Convert to fraction form
    147,638.66/203,741.61 = 80,570.66/x
  3. Step 3: Cross multiply
    147,638.66x = 203,741.61 × 80,570.66
  4. Step 4: Simplify right side
    147,638.66x = 16,415,595,987.16
  5. Step 5: Solve for x
    x = 16,415,595,987.16/147,638.66
  6. Step 6: Final answer
    x = 111,187.65

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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.