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Finding the Fourth Proportional to 140,641.36, 210,929.22 and 40,774.75

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Solution

The fourth proportional to 140,641.36, 210,929.22 and 40,774.75 is: 61,152.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,641.36 : 210,929.22 = 40,774.75 : x
  2. Step 2: Convert to fraction form
    140,641.36/210,929.22 = 40,774.75/x
  3. Step 3: Cross multiply
    140,641.36x = 210,929.22 × 40,774.75
  4. Step 4: Simplify right side
    140,641.36x = 8,600,585,685.87
  5. Step 5: Solve for x
    x = 8,600,585,685.87/140,641.36
  6. Step 6: Final answer
    x = 61,152.61

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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.