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Finding the Fourth Proportional to 140,322.35, 210,336.51 and 65,380.70

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Solution

The fourth proportional to 140,322.35, 210,336.51 and 65,380.70 is: 98,002.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,322.35 : 210,336.51 = 65,380.70 : x
  2. Step 2: Convert to fraction form
    140,322.35/210,336.51 = 65,380.70/x
  3. Step 3: Cross multiply
    140,322.35x = 210,336.51 × 65,380.70
  4. Step 4: Simplify right side
    140,322.35x = 13,751,949,030.38
  5. Step 5: Solve for x
    x = 13,751,949,030.38/140,322.35
  6. Step 6: Final answer
    x = 98,002.55

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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.