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Finding the Fourth Proportional to 140,406.87, 210,491.84 and 65,487.54

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Solution

The fourth proportional to 140,406.87, 210,491.84 and 65,487.54 is: 98,176.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,406.87 : 210,491.84 = 65,487.54 : x
  2. Step 2: Convert to fraction form
    140,406.87/210,491.84 = 65,487.54/x
  3. Step 3: Cross multiply
    140,406.87x = 210,491.84 × 65,487.54
  4. Step 4: Simplify right side
    140,406.87x = 13,784,592,464.24
  5. Step 5: Solve for x
    x = 13,784,592,464.24/140,406.87
  6. Step 6: Final answer
    x = 98,176.05

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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.