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Finding the Fourth Proportional to 138,353.66, 207,509.83 and 38,503.44

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Solution

The fourth proportional to 138,353.66, 207,509.83 and 38,503.44 is: 57,749.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,353.66 : 207,509.83 = 38,503.44 : x
  2. Step 2: Convert to fraction form
    138,353.66/207,509.83 = 38,503.44/x
  3. Step 3: Cross multiply
    138,353.66x = 207,509.83 × 38,503.44
  4. Step 4: Simplify right side
    138,353.66x = 7,989,842,288.82
  5. Step 5: Solve for x
    x = 7,989,842,288.82/138,353.66
  6. Step 6: Final answer
    x = 57,749.41

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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.