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Finding the Fourth Proportional to 134,992, 186,288.96 and 75,376

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Solution

The fourth proportional to 134,992, 186,288.96 and 75,376 is: 104,018.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,992 : 186,288.96 = 75,376 : x
  2. Step 2: Convert to fraction form
    134,992/186,288.96 = 75,376/x
  3. Step 3: Cross multiply
    134,992x = 186,288.96 × 75,376
  4. Step 4: Simplify right side
    134,992x = 14,041,716,648.96
  5. Step 5: Solve for x
    x = 14,041,716,648.96/134,992
  6. Step 6: Final answer
    x = 104,018.88

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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.