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Finding the Fourth Proportional to 138,973.26, 191,728.31 and 90,631.50

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Solution

The fourth proportional to 138,973.26, 191,728.31 and 90,631.50 is: 125,035.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,973.26 : 191,728.31 = 90,631.50 : x
  2. Step 2: Convert to fraction form
    138,973.26/191,728.31 = 90,631.50/x
  3. Step 3: Cross multiply
    138,973.26x = 191,728.31 × 90,631.50
  4. Step 4: Simplify right side
    138,973.26x = 17,376,624,545.37
  5. Step 5: Solve for x
    x = 17,376,624,545.37/138,973.26
  6. Step 6: Final answer
    x = 125,035.74

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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.