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Finding the Fourth Proportional to 51,771.81, 77,657.84 and 15,748.58

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Solution

The fourth proportional to 51,771.81, 77,657.84 and 15,748.58 is: 23,622.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,771.81 : 77,657.84 = 15,748.58 : x
  2. Step 2: Convert to fraction form
    51,771.81/77,657.84 = 15,748.58/x
  3. Step 3: Cross multiply
    51,771.81x = 77,657.84 × 15,748.58
  4. Step 4: Simplify right side
    51,771.81x = 1,223,000,317.58
  5. Step 5: Solve for x
    x = 1,223,000,317.58/51,771.81
  6. Step 6: Final answer
    x = 23,622.90

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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.