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Finding the Fourth Proportional to 51,780, 77,670.95 and 16,240.52

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Solution

The fourth proportional to 51,780, 77,670.95 and 16,240.52 is: 24,361.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,780 : 77,670.95 = 16,240.52 : x
  2. Step 2: Convert to fraction form
    51,780/77,670.95 = 16,240.52/x
  3. Step 3: Cross multiply
    51,780x = 77,670.95 × 16,240.52
  4. Step 4: Simplify right side
    51,780x = 1,261,416,729.87
  5. Step 5: Solve for x
    x = 1,261,416,729.87/51,780
  6. Step 6: Final answer
    x = 24,361.08

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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.