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Finding the Fourth Proportional to 138,398.78, 190,991.04 and 77,972.06

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Solution

The fourth proportional to 138,398.78, 190,991.04 and 77,972.06 is: 107,601.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,398.78 : 190,991.04 = 77,972.06 : x
  2. Step 2: Convert to fraction form
    138,398.78/190,991.04 = 77,972.06/x
  3. Step 3: Cross multiply
    138,398.78x = 190,991.04 × 77,972.06
  4. Step 4: Simplify right side
    138,398.78x = 14,891,964,830.34
  5. Step 5: Solve for x
    x = 14,891,964,830.34/138,398.78
  6. Step 6: Final answer
    x = 107,601.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.