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Finding the Fourth Proportional to 138,603.76, 207,903.81 and 33,421.81

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Solution

The fourth proportional to 138,603.76, 207,903.81 and 33,421.81 is: 50,132.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,603.76 : 207,903.81 = 33,421.81 : x
  2. Step 2: Convert to fraction form
    138,603.76/207,903.81 = 33,421.81/x
  3. Step 3: Cross multiply
    138,603.76x = 207,903.81 × 33,421.81
  4. Step 4: Simplify right side
    138,603.76x = 6,948,521,636.10
  5. Step 5: Solve for x
    x = 6,948,521,636.10/138,603.76
  6. Step 6: Final answer
    x = 50,132.27

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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.