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Finding the Fourth Proportional to 138,851, 208,277.10 and 33,670.16

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Solution

The fourth proportional to 138,851, 208,277.10 and 33,670.16 is: 50,505.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,851 : 208,277.10 = 33,670.16 : x
  2. Step 2: Convert to fraction form
    138,851/208,277.10 = 33,670.16/x
  3. Step 3: Cross multiply
    138,851x = 208,277.10 × 33,670.16
  4. Step 4: Simplify right side
    138,851x = 7,012,723,281.34
  5. Step 5: Solve for x
    x = 7,012,723,281.34/138,851
  6. Step 6: Final answer
    x = 50,505.39

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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.