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Finding the Fourth Proportional to 138,950.57, 191,752.47 and 75,288.36

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Solution

The fourth proportional to 138,950.57, 191,752.47 and 75,288.36 is: 103,898.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,950.57 : 191,752.47 = 75,288.36 : x
  2. Step 2: Convert to fraction form
    138,950.57/191,752.47 = 75,288.36/x
  3. Step 3: Cross multiply
    138,950.57x = 191,752.47 × 75,288.36
  4. Step 4: Simplify right side
    138,950.57x = 14,436,728,992.25
  5. Step 5: Solve for x
    x = 14,436,728,992.25/138,950.57
  6. Step 6: Final answer
    x = 103,898.31

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1.5x scale

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.