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Finding the Fourth Proportional to 138,983.66, 208,473.80 and 33,802.74

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Solution

The fourth proportional to 138,983.66, 208,473.80 and 33,802.74 is: 50,703.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,983.66 : 208,473.80 = 33,802.74 : x
  2. Step 2: Convert to fraction form
    138,983.66/208,473.80 = 33,802.74/x
  3. Step 3: Cross multiply
    138,983.66x = 208,473.80 × 33,802.74
  4. Step 4: Simplify right side
    138,983.66x = 7,046,985,658.21
  5. Step 5: Solve for x
    x = 7,046,985,658.21/138,983.66
  6. Step 6: Final answer
    x = 50,703.70

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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.