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Finding the Fourth Proportional to 70,562, 105,843 and 31,650

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Solution

The fourth proportional to 70,562, 105,843 and 31,650 is: 47,475

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,562 : 105,843 = 31,650 : x
  2. Step 2: Convert to fraction form
    70,562/105,843 = 31,650/x
  3. Step 3: Cross multiply
    70,562x = 105,843 × 31,650
  4. Step 4: Simplify right side
    70,562x = 3,349,930,950
  5. Step 5: Solve for x
    x = 3,349,930,950/70,562
  6. Step 6: Final answer
    x = 47,475

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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.