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Finding the Fourth Proportional to 76,364.80, 114,592 and 31,988.08

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Solution

The fourth proportional to 76,364.80, 114,592 and 31,988.08 is: 48,000.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,364.80 : 114,592 = 31,988.08 : x
  2. Step 2: Convert to fraction form
    76,364.80/114,592 = 31,988.08/x
  3. Step 3: Cross multiply
    76,364.80x = 114,592 × 31,988.08
  4. Step 4: Simplify right side
    76,364.80x = 3,665,578,063.36
  5. Step 5: Solve for x
    x = 3,665,578,063.36/76,364.80
  6. Step 6: Final answer
    x = 48,000.89

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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.