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Finding the Fourth Proportional to 138,051.66, 207,087.40 and 36,849.18

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Solution

The fourth proportional to 138,051.66, 207,087.40 and 36,849.18 is: 55,276.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,051.66 : 207,087.40 = 36,849.18 : x
  2. Step 2: Convert to fraction form
    138,051.66/207,087.40 = 36,849.18/x
  3. Step 3: Cross multiply
    138,051.66x = 207,087.40 × 36,849.18
  4. Step 4: Simplify right side
    138,051.66x = 7,631,000,878.33
  5. Step 5: Solve for x
    x = 7,631,000,878.33/138,051.66
  6. Step 6: Final answer
    x = 55,276.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.