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Finding the Fourth Proportional to 76,970.30, 115,369.11 and 50,367.47

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Solution

The fourth proportional to 76,970.30, 115,369.11 and 50,367.47 is: 75,494.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,970.30 : 115,369.11 = 50,367.47 : x
  2. Step 2: Convert to fraction form
    76,970.30/115,369.11 = 50,367.47/x
  3. Step 3: Cross multiply
    76,970.30x = 115,369.11 × 50,367.47
  4. Step 4: Simplify right side
    76,970.30x = 5,810,849,610.01
  5. Step 5: Solve for x
    x = 5,810,849,610.01/76,970.30
  6. Step 6: Final answer
    x = 75,494.70

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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.