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Finding the Fourth Proportional to 149,396.95, 206,161.79 and 81,412.47

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Solution

The fourth proportional to 149,396.95, 206,161.79 and 81,412.47 is: 112,345.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,396.95 : 206,161.79 = 81,412.47 : x
  2. Step 2: Convert to fraction form
    149,396.95/206,161.79 = 81,412.47/x
  3. Step 3: Cross multiply
    149,396.95x = 206,161.79 × 81,412.47
  4. Step 4: Simplify right side
    149,396.95x = 16,784,140,543.52
  5. Step 5: Solve for x
    x = 16,784,140,543.52/149,396.95
  6. Step 6: Final answer
    x = 112,345.94

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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.