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Finding the Fourth Proportional to 51,920.57, 77,913.65 and 29,777.20

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Solution

The fourth proportional to 51,920.57, 77,913.65 and 29,777.20 is: 44,684.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,920.57 : 77,913.65 = 29,777.20 : x
  2. Step 2: Convert to fraction form
    51,920.57/77,913.65 = 29,777.20/x
  3. Step 3: Cross multiply
    51,920.57x = 77,913.65 × 29,777.20
  4. Step 4: Simplify right side
    51,920.57x = 2,320,050,218.44
  5. Step 5: Solve for x
    x = 2,320,050,218.44/51,920.57
  6. Step 6: Final answer
    x = 44,684.60

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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.