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Finding the Fourth Proportional to 76,987.40, 115,497.90 and 43,723.40

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Solution

The fourth proportional to 76,987.40, 115,497.90 and 43,723.40 is: 65,594.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,987.40 : 115,497.90 = 43,723.40 : x
  2. Step 2: Convert to fraction form
    76,987.40/115,497.90 = 43,723.40/x
  3. Step 3: Cross multiply
    76,987.40x = 115,497.90 × 43,723.40
  4. Step 4: Simplify right side
    76,987.40x = 5,049,960,880.86
  5. Step 5: Solve for x
    x = 5,049,960,880.86/76,987.40
  6. Step 6: Final answer
    x = 65,594.64

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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.