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Finding the Fourth Proportional to 138,707.61, 208,012.21 and 49,937.28

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Solution

The fourth proportional to 138,707.61, 208,012.21 and 49,937.28 is: 74,888.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,707.61 : 208,012.21 = 49,937.28 : x
  2. Step 2: Convert to fraction form
    138,707.61/208,012.21 = 49,937.28/x
  3. Step 3: Cross multiply
    138,707.61x = 208,012.21 × 49,937.28
  4. Step 4: Simplify right side
    138,707.61x = 10,387,563,974.19
  5. Step 5: Solve for x
    x = 10,387,563,974.19/138,707.61
  6. Step 6: Final answer
    x = 74,888.21

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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.