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Finding the Fourth Proportional to 138,930, 208,400.76 and 40,434

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Solution

The fourth proportional to 138,930, 208,400.76 and 40,434 is: 60,652.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,930 : 208,400.76 = 40,434 : x
  2. Step 2: Convert to fraction form
    138,930/208,400.76 = 40,434/x
  3. Step 3: Cross multiply
    138,930x = 208,400.76 × 40,434
  4. Step 4: Simplify right side
    138,930x = 8,426,476,329.84
  5. Step 5: Solve for x
    x = 8,426,476,329.84/138,930
  6. Step 6: Final answer
    x = 60,652.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.