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Finding the Fourth Proportional to 76,986, 115,482.36 and 24,399.36

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Solution

The fourth proportional to 76,986, 115,482.36 and 24,399.36 is: 36,600.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,986 : 115,482.36 = 24,399.36 : x
  2. Step 2: Convert to fraction form
    76,986/115,482.36 = 24,399.36/x
  3. Step 3: Cross multiply
    76,986x = 115,482.36 × 24,399.36
  4. Step 4: Simplify right side
    76,986x = 2,817,695,675.29
  5. Step 5: Solve for x
    x = 2,817,695,675.29/76,986
  6. Step 6: Final answer
    x = 36,600.10

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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.