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Finding the Fourth Proportional to 149,651.94, 206,555.03 and 86,026.65

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Solution

The fourth proportional to 149,651.94, 206,555.03 and 86,026.65 is: 118,737.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,651.94 : 206,555.03 = 86,026.65 : x
  2. Step 2: Convert to fraction form
    149,651.94/206,555.03 = 86,026.65/x
  3. Step 3: Cross multiply
    149,651.94x = 206,555.03 × 86,026.65
  4. Step 4: Simplify right side
    149,651.94x = 17,769,236,841.42
  5. Step 5: Solve for x
    x = 17,769,236,841.42/149,651.94
  6. Step 6: Final answer
    x = 118,737.10

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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.