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Finding the Fourth Proportional to 51,402.98, 77,115 and 21,820.70

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Solution

The fourth proportional to 51,402.98, 77,115 and 21,820.70 is: 32,735.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,402.98 : 77,115 = 21,820.70 : x
  2. Step 2: Convert to fraction form
    51,402.98/77,115 = 21,820.70/x
  3. Step 3: Cross multiply
    51,402.98x = 77,115 × 21,820.70
  4. Step 4: Simplify right side
    51,402.98x = 1,682,703,280.50
  5. Step 5: Solve for x
    x = 1,682,703,280.50/51,402.98
  6. Step 6: Final answer
    x = 32,735.52

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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.