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Finding the Fourth Proportional to 140,407, 210,610.50 and 41,911

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Solution

The fourth proportional to 140,407, 210,610.50 and 41,911 is: 62,866.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,407 : 210,610.50 = 41,911 : x
  2. Step 2: Convert to fraction form
    140,407/210,610.50 = 41,911/x
  3. Step 3: Cross multiply
    140,407x = 210,610.50 × 41,911
  4. Step 4: Simplify right side
    140,407x = 8,826,896,665.50
  5. Step 5: Solve for x
    x = 8,826,896,665.50/140,407
  6. Step 6: Final answer
    x = 62,866.50

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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.