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Finding the Fourth Proportional to 105,410, 158,115 and 31,538

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Solution

The fourth proportional to 105,410, 158,115 and 31,538 is: 47,307

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,410 : 158,115 = 31,538 : x
  2. Step 2: Convert to fraction form
    105,410/158,115 = 31,538/x
  3. Step 3: Cross multiply
    105,410x = 158,115 × 31,538
  4. Step 4: Simplify right side
    105,410x = 4,986,630,870
  5. Step 5: Solve for x
    x = 4,986,630,870/105,410
  6. Step 6: Final answer
    x = 47,307

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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.