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Finding the Fourth Proportional to 52,077.96, 78,120.59 and 20,913.21

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Solution

The fourth proportional to 52,077.96, 78,120.59 and 20,913.21 is: 31,371.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,077.96 : 78,120.59 = 20,913.21 : x
  2. Step 2: Convert to fraction form
    52,077.96/78,120.59 = 20,913.21/x
  3. Step 3: Cross multiply
    52,077.96x = 78,120.59 × 20,913.21
  4. Step 4: Simplify right side
    52,077.96x = 1,633,752,199.43
  5. Step 5: Solve for x
    x = 1,633,752,199.43/52,077.96
  6. Step 6: Final answer
    x = 31,371.28

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1.5x scale

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.