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Finding the Fourth Proportional to 138,908, 208,397.28 and 40,412

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Solution

The fourth proportional to 138,908, 208,397.28 and 40,412 is: 60,628.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,908 : 208,397.28 = 40,412 : x
  2. Step 2: Convert to fraction form
    138,908/208,397.28 = 40,412/x
  3. Step 3: Cross multiply
    138,908x = 208,397.28 × 40,412
  4. Step 4: Simplify right side
    138,908x = 8,421,750,879.36
  5. Step 5: Solve for x
    x = 8,421,750,879.36/138,908
  6. Step 6: Final answer
    x = 60,628.26

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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.