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Finding the Fourth Proportional to 51,707, 77,560.50 and 14,771

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Solution

The fourth proportional to 51,707, 77,560.50 and 14,771 is: 22,156.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,707 : 77,560.50 = 14,771 : x
  2. Step 2: Convert to fraction form
    51,707/77,560.50 = 14,771/x
  3. Step 3: Cross multiply
    51,707x = 77,560.50 × 14,771
  4. Step 4: Simplify right side
    51,707x = 1,145,646,145.50
  5. Step 5: Solve for x
    x = 1,145,646,145.50/51,707
  6. Step 6: Final answer
    x = 22,156.50

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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.