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Finding the Fourth Proportional to 140,558.34, 210,865.72 and 51,812.30

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Solution

The fourth proportional to 140,558.34, 210,865.72 and 51,812.30 is: 77,728.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,558.34 : 210,865.72 = 51,812.30 : x
  2. Step 2: Convert to fraction form
    140,558.34/210,865.72 = 51,812.30/x
  3. Step 3: Cross multiply
    140,558.34x = 210,865.72 × 51,812.30
  4. Step 4: Simplify right side
    140,558.34x = 10,925,437,944.36
  5. Step 5: Solve for x
    x = 10,925,437,944.36/140,558.34
  6. Step 6: Final answer
    x = 77,728.85

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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.