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Finding the Fourth Proportional to 138,496.10, 191,124.32 and 74,833.90

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Solution

The fourth proportional to 138,496.10, 191,124.32 and 74,833.90 is: 103,270.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,496.10 : 191,124.32 = 74,833.90 : x
  2. Step 2: Convert to fraction form
    138,496.10/191,124.32 = 74,833.90/x
  3. Step 3: Cross multiply
    138,496.10x = 191,124.32 × 74,833.90
  4. Step 4: Simplify right side
    138,496.10x = 14,302,578,462.18
  5. Step 5: Solve for x
    x = 14,302,578,462.18/138,496.10
  6. Step 6: Final answer
    x = 103,270.62

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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.