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Finding the Fourth Proportional to 140,648.92, 210,975.54 and 45,878.68

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Solution

The fourth proportional to 140,648.92, 210,975.54 and 45,878.68 is: 68,818.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,648.92 : 210,975.54 = 45,878.68 : x
  2. Step 2: Convert to fraction form
    140,648.92/210,975.54 = 45,878.68/x
  3. Step 3: Cross multiply
    140,648.92x = 210,975.54 × 45,878.68
  4. Step 4: Simplify right side
    140,648.92x = 9,679,279,287.49
  5. Step 5: Solve for x
    x = 9,679,279,287.49/140,648.92
  6. Step 6: Final answer
    x = 68,818.72

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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.