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Finding the Fourth Proportional to 47,677.99, 71,505 and 19,605.89

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Solution

The fourth proportional to 47,677.99, 71,505 and 19,605.89 is: 29,403.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,677.99 : 71,505 = 19,605.89 : x
  2. Step 2: Convert to fraction form
    47,677.99/71,505 = 19,605.89/x
  3. Step 3: Cross multiply
    47,677.99x = 71,505 × 19,605.89
  4. Step 4: Simplify right side
    47,677.99x = 1,401,918,806.93
  5. Step 5: Solve for x
    x = 1,401,918,806.93/47,677.99
  6. Step 6: Final answer
    x = 29,403.90

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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.