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Finding the Fourth Proportional to 199,064.72, 274,711.10 and 108,421.10

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Solution

The fourth proportional to 199,064.72, 274,711.10 and 108,421.10 is: 149,622.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,064.72 : 274,711.10 = 108,421.10 : x
  2. Step 2: Convert to fraction form
    199,064.72/274,711.10 = 108,421.10/x
  3. Step 3: Cross multiply
    199,064.72x = 274,711.10 × 108,421.10
  4. Step 4: Simplify right side
    199,064.72x = 29,784,478,758.72
  5. Step 5: Solve for x
    x = 29,784,478,758.72/199,064.72
  6. Step 6: Final answer
    x = 149,622.08

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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.