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Finding the Fourth Proportional to 215,145.72, 296,899.02 and 119,647.80

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Solution

The fourth proportional to 215,145.72, 296,899.02 and 119,647.80 is: 165,112.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,145.72 : 296,899.02 = 119,647.80 : x
  2. Step 2: Convert to fraction form
    215,145.72/296,899.02 = 119,647.80/x
  3. Step 3: Cross multiply
    215,145.72x = 296,899.02 × 119,647.80
  4. Step 4: Simplify right side
    215,145.72x = 35,523,314,565.16
  5. Step 5: Solve for x
    x = 35,523,314,565.16/215,145.72
  6. Step 6: Final answer
    x = 165,112.81

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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.