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Finding the Fourth Proportional to 138,980.81, 208,476.23 and 39,149.73

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Solution

The fourth proportional to 138,980.81, 208,476.23 and 39,149.73 is: 58,726.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,980.81 : 208,476.23 = 39,149.73 : x
  2. Step 2: Convert to fraction form
    138,980.81/208,476.23 = 39,149.73/x
  3. Step 3: Cross multiply
    138,980.81x = 208,476.23 × 39,149.73
  4. Step 4: Simplify right side
    138,980.81x = 8,161,788,140.39
  5. Step 5: Solve for x
    x = 8,161,788,140.39/138,980.81
  6. Step 6: Final answer
    x = 58,726.01

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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.