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Finding the Fourth Proportional to 138,410.02, 191,005.84 and 74,747.80

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Solution

The fourth proportional to 138,410.02, 191,005.84 and 74,747.80 is: 103,151.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,410.02 : 191,005.84 = 74,747.80 : x
  2. Step 2: Convert to fraction form
    138,410.02/191,005.84 = 74,747.80/x
  3. Step 3: Cross multiply
    138,410.02x = 191,005.84 × 74,747.80
  4. Step 4: Simplify right side
    138,410.02x = 14,277,266,327.15
  5. Step 5: Solve for x
    x = 14,277,266,327.15/138,410.02
  6. Step 6: Final answer
    x = 103,151.97

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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.