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Finding the Fourth Proportional to 105,483.11, 158,204.51 and 31,611.11

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Solution

The fourth proportional to 105,483.11, 158,204.51 and 31,611.11 is: 47,410.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,483.11 : 158,204.51 = 31,611.11 : x
  2. Step 2: Convert to fraction form
    105,483.11/158,204.51 = 31,611.11/x
  3. Step 3: Cross multiply
    105,483.11x = 158,204.51 × 31,611.11
  4. Step 4: Simplify right side
    105,483.11x = 5,001,020,010.05
  5. Step 5: Solve for x
    x = 5,001,020,010.05/105,483.11
  6. Step 6: Final answer
    x = 47,410.62

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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.