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Finding the Fourth Proportional to 138,922, 208,417.56 and 40,426

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Solution

The fourth proportional to 138,922, 208,417.56 and 40,426 is: 60,649.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,922 : 208,417.56 = 40,426 : x
  2. Step 2: Convert to fraction form
    138,922/208,417.56 = 40,426/x
  3. Step 3: Cross multiply
    138,922x = 208,417.56 × 40,426
  4. Step 4: Simplify right side
    138,922x = 8,425,488,280.56
  5. Step 5: Solve for x
    x = 8,425,488,280.56/138,922
  6. Step 6: Final answer
    x = 60,649.06

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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.