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Finding the Fourth Proportional to 76,678.90, 115,021.95 and 24,090.10

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Solution

The fourth proportional to 76,678.90, 115,021.95 and 24,090.10 is: 36,136.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,678.90 : 115,021.95 = 24,090.10 : x
  2. Step 2: Convert to fraction form
    76,678.90/115,021.95 = 24,090.10/x
  3. Step 3: Cross multiply
    76,678.90x = 115,021.95 × 24,090.10
  4. Step 4: Simplify right side
    76,678.90x = 2,770,890,277.70
  5. Step 5: Solve for x
    x = 2,770,890,277.70/76,678.90
  6. Step 6: Final answer
    x = 36,136.28

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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.