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Finding the Fourth Proportional to 140,592.64, 210,866.56 and 65,764.80

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Solution

The fourth proportional to 140,592.64, 210,866.56 and 65,764.80 is: 98,636.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,592.64 : 210,866.56 = 65,764.80 : x
  2. Step 2: Convert to fraction form
    140,592.64/210,866.56 = 65,764.80/x
  3. Step 3: Cross multiply
    140,592.64x = 210,866.56 × 65,764.80
  4. Step 4: Simplify right side
    140,592.64x = 13,867,597,145.09
  5. Step 5: Solve for x
    x = 13,867,597,145.09/140,592.64
  6. Step 6: Final answer
    x = 98,636.72

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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.