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Finding the Fourth Proportional to 76,988.46, 115,485.94 and 24,396.78

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Solution

The fourth proportional to 76,988.46, 115,485.94 and 24,396.78 is: 36,596.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,988.46 : 115,485.94 = 24,396.78 : x
  2. Step 2: Convert to fraction form
    76,988.46/115,485.94 = 24,396.78/x
  3. Step 3: Cross multiply
    76,988.46x = 115,485.94 × 24,396.78
  4. Step 4: Simplify right side
    76,988.46x = 2,817,485,071.27
  5. Step 5: Solve for x
    x = 2,817,485,071.27/76,988.46
  6. Step 6: Final answer
    x = 36,596.20

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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.