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Finding the Fourth Proportional to 276,108.04, 414,162.65 and 76,429

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Solution

The fourth proportional to 276,108.04, 414,162.65 and 76,429 is: 114,643.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,108.04 : 414,162.65 = 76,429 : x
  2. Step 2: Convert to fraction form
    276,108.04/414,162.65 = 76,429/x
  3. Step 3: Cross multiply
    276,108.04x = 414,162.65 × 76,429
  4. Step 4: Simplify right side
    276,108.04x = 31,654,037,176.85
  5. Step 5: Solve for x
    x = 31,654,037,176.85/276,108.04
  6. Step 6: Final answer
    x = 114,643.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.