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Finding the Fourth Proportional to 76,494, 114,750.72 and 21,090

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Solution

The fourth proportional to 76,494, 114,750.72 and 21,090 is: 31,637.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,494 : 114,750.72 = 21,090 : x
  2. Step 2: Convert to fraction form
    76,494/114,750.72 = 21,090/x
  3. Step 3: Cross multiply
    76,494x = 114,750.72 × 21,090
  4. Step 4: Simplify right side
    76,494x = 2,420,092,684.80
  5. Step 5: Solve for x
    x = 2,420,092,684.80/76,494
  6. Step 6: Final answer
    x = 31,637.68

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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.