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Finding the Fourth Proportional to 138,645.02, 207,959.33 and 38,803

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Solution

The fourth proportional to 138,645.02, 207,959.33 and 38,803 is: 58,202.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,645.02 : 207,959.33 = 38,803 : x
  2. Step 2: Convert to fraction form
    138,645.02/207,959.33 = 38,803/x
  3. Step 3: Cross multiply
    138,645.02x = 207,959.33 × 38,803
  4. Step 4: Simplify right side
    138,645.02x = 8,069,445,881.99
  5. Step 5: Solve for x
    x = 8,069,445,881.99/138,645.02
  6. Step 6: Final answer
    x = 58,202.21

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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.