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Finding the Fourth Proportional to 138,590.29, 191,255.07 and 74,928.54

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Solution

The fourth proportional to 138,590.29, 191,255.07 and 74,928.54 is: 103,401.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,590.29 : 191,255.07 = 74,928.54 : x
  2. Step 2: Convert to fraction form
    138,590.29/191,255.07 = 74,928.54/x
  3. Step 3: Cross multiply
    138,590.29x = 191,255.07 × 74,928.54
  4. Step 4: Simplify right side
    138,590.29x = 14,330,462,788.06
  5. Step 5: Solve for x
    x = 14,330,462,788.06/138,590.29
  6. Step 6: Final answer
    x = 103,401.64

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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.