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Finding the Fourth Proportional to 140,640.48, 210,933.84 and 42,144.48

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Solution

The fourth proportional to 140,640.48, 210,933.84 and 42,144.48 is: 63,208.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,640.48 : 210,933.84 = 42,144.48 : x
  2. Step 2: Convert to fraction form
    140,640.48/210,933.84 = 42,144.48/x
  3. Step 3: Cross multiply
    140,640.48x = 210,933.84 × 42,144.48
  4. Step 4: Simplify right side
    140,640.48x = 8,889,697,001.20
  5. Step 5: Solve for x
    x = 8,889,697,001.20/140,640.48
  6. Step 6: Final answer
    x = 63,208.67

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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.