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Finding the Fourth Proportional to 138,534.66, 207,802.11 and 33,353.64

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Solution

The fourth proportional to 138,534.66, 207,802.11 and 33,353.64 is: 50,030.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,534.66 : 207,802.11 = 33,353.64 : x
  2. Step 2: Convert to fraction form
    138,534.66/207,802.11 = 33,353.64/x
  3. Step 3: Cross multiply
    138,534.66x = 207,802.11 × 33,353.64
  4. Step 4: Simplify right side
    138,534.66x = 6,930,956,768.18
  5. Step 5: Solve for x
    x = 6,930,956,768.18/138,534.66
  6. Step 6: Final answer
    x = 50,030.49

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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.