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Finding the Fourth Proportional to 276,334, 381,340.92 and 157,102

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Solution

The fourth proportional to 276,334, 381,340.92 and 157,102 is: 216,800.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,334 : 381,340.92 = 157,102 : x
  2. Step 2: Convert to fraction form
    276,334/381,340.92 = 157,102/x
  3. Step 3: Cross multiply
    276,334x = 381,340.92 × 157,102
  4. Step 4: Simplify right side
    276,334x = 59,909,421,213.84
  5. Step 5: Solve for x
    x = 59,909,421,213.84/276,334
  6. Step 6: Final answer
    x = 216,800.76

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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.