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Finding the Fourth Proportional to 276,345, 381,356.10 and 157,113

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Solution

The fourth proportional to 276,345, 381,356.10 and 157,113 is: 216,815.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,345 : 381,356.10 = 157,113 : x
  2. Step 2: Convert to fraction form
    276,345/381,356.10 = 157,113/x
  3. Step 3: Cross multiply
    276,345x = 381,356.10 × 157,113
  4. Step 4: Simplify right side
    276,345x = 59,916,000,939.30
  5. Step 5: Solve for x
    x = 59,916,000,939.30/276,345
  6. Step 6: Final answer
    x = 216,815.94

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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.