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Finding the Fourth Proportional to 134,990, 186,286.20 and 75,374

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Solution

The fourth proportional to 134,990, 186,286.20 and 75,374 is: 104,016.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,990 : 186,286.20 = 75,374 : x
  2. Step 2: Convert to fraction form
    134,990/186,286.20 = 75,374/x
  3. Step 3: Cross multiply
    134,990x = 186,286.20 × 75,374
  4. Step 4: Simplify right side
    134,990x = 14,041,136,038.80
  5. Step 5: Solve for x
    x = 14,041,136,038.80/134,990
  6. Step 6: Final answer
    x = 104,016.12

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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.