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Finding the Fourth Proportional to 140,867.14, 211,300.71 and 85,346.50

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Solution

The fourth proportional to 140,867.14, 211,300.71 and 85,346.50 is: 128,019.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,867.14 : 211,300.71 = 85,346.50 : x
  2. Step 2: Convert to fraction form
    140,867.14/211,300.71 = 85,346.50/x
  3. Step 3: Cross multiply
    140,867.14x = 211,300.71 × 85,346.50
  4. Step 4: Simplify right side
    140,867.14x = 18,033,776,046.02
  5. Step 5: Solve for x
    x = 18,033,776,046.02/140,867.14
  6. Step 6: Final answer
    x = 128,019.75

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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.