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Finding the Fourth Proportional to 138,446.31, 191,055.99 and 74,784.11

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Solution

The fourth proportional to 138,446.31, 191,055.99 and 74,784.11 is: 103,202.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,446.31 : 191,055.99 = 74,784.11 : x
  2. Step 2: Convert to fraction form
    138,446.31/191,055.99 = 74,784.11/x
  3. Step 3: Cross multiply
    138,446.31x = 191,055.99 × 74,784.11
  4. Step 4: Simplify right side
    138,446.31x = 14,287,952,172.32
  5. Step 5: Solve for x
    x = 14,287,952,172.32/138,446.31
  6. Step 6: Final answer
    x = 103,202.12

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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.