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Finding the Fourth Proportional to 134,947, 186,226.86 and 75,331

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Solution

The fourth proportional to 134,947, 186,226.86 and 75,331 is: 103,956.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,947 : 186,226.86 = 75,331 : x
  2. Step 2: Convert to fraction form
    134,947/186,226.86 = 75,331/x
  3. Step 3: Cross multiply
    134,947x = 186,226.86 × 75,331
  4. Step 4: Simplify right side
    134,947x = 14,028,655,590.66
  5. Step 5: Solve for x
    x = 14,028,655,590.66/134,947
  6. Step 6: Final answer
    x = 103,956.78

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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.