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Finding the Fourth Proportional to 52,611, 78,951.06 and 19,779

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Solution

The fourth proportional to 52,611, 78,951.06 and 19,779 is: 29,681.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,611 : 78,951.06 = 19,779 : x
  2. Step 2: Convert to fraction form
    52,611/78,951.06 = 19,779/x
  3. Step 3: Cross multiply
    52,611x = 78,951.06 × 19,779
  4. Step 4: Simplify right side
    52,611x = 1,561,573,015.74
  5. Step 5: Solve for x
    x = 1,561,573,015.74/52,611
  6. Step 6: Final answer
    x = 29,681.49

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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.