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Finding the Fourth Proportional to 105,031.50, 157,447.50 and 41,890.38

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Solution

The fourth proportional to 105,031.50, 157,447.50 and 41,890.38 is: 62,795.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,031.50 : 157,447.50 = 41,890.38 : x
  2. Step 2: Convert to fraction form
    105,031.50/157,447.50 = 41,890.38/x
  3. Step 3: Cross multiply
    105,031.50x = 157,447.50 × 41,890.38
  4. Step 4: Simplify right side
    105,031.50x = 6,595,535,605.05
  5. Step 5: Solve for x
    x = 6,595,535,605.05/105,031.50
  6. Step 6: Final answer
    x = 62,795.79

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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.