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Finding the Fourth Proportional to 105,526, 158,289 and 31,654

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Solution

The fourth proportional to 105,526, 158,289 and 31,654 is: 47,481

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,526 : 158,289 = 31,654 : x
  2. Step 2: Convert to fraction form
    105,526/158,289 = 31,654/x
  3. Step 3: Cross multiply
    105,526x = 158,289 × 31,654
  4. Step 4: Simplify right side
    105,526x = 5,010,480,006
  5. Step 5: Solve for x
    x = 5,010,480,006/105,526
  6. Step 6: Final answer
    x = 47,481

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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.