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Finding the Fourth Proportional to 140,297.46, 210,473.64 and 51,551.70

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Solution

The fourth proportional to 140,297.46, 210,473.64 and 51,551.70 is: 77,337.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,297.46 : 210,473.64 = 51,551.70 : x
  2. Step 2: Convert to fraction form
    140,297.46/210,473.64 = 51,551.70/x
  3. Step 3: Cross multiply
    140,297.46x = 210,473.64 × 51,551.70
  4. Step 4: Simplify right side
    140,297.46x = 10,850,273,947.19
  5. Step 5: Solve for x
    x = 10,850,273,947.19/140,297.46
  6. Step 6: Final answer
    x = 77,337.64

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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.