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Finding the Fourth Proportional to 140,503.82, 210,608.10 and 87,195.69

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Solution

The fourth proportional to 140,503.82, 210,608.10 and 87,195.69 is: 130,701.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,503.82 : 210,608.10 = 87,195.69 : x
  2. Step 2: Convert to fraction form
    140,503.82/210,608.10 = 87,195.69/x
  3. Step 3: Cross multiply
    140,503.82x = 210,608.10 × 87,195.69
  4. Step 4: Simplify right side
    140,503.82x = 18,364,118,599.09
  5. Step 5: Solve for x
    x = 18,364,118,599.09/140,503.82
  6. Step 6: Final answer
    x = 130,701.92

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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.