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Finding the Fourth Proportional to 140,591.64, 210,865.14 and 65,763.72

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Solution

The fourth proportional to 140,591.64, 210,865.14 and 65,763.72 is: 98,635.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,591.64 : 210,865.14 = 65,763.72 : x
  2. Step 2: Convert to fraction form
    140,591.64/210,865.14 = 65,763.72/x
  3. Step 3: Cross multiply
    140,591.64x = 210,865.14 × 65,763.72
  4. Step 4: Simplify right side
    140,591.64x = 13,867,276,024.72
  5. Step 5: Solve for x
    x = 13,867,276,024.72/140,591.64
  6. Step 6: Final answer
    x = 98,635.14

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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.