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Finding the Fourth Proportional to 77,020.80, 115,336.80 and 50,582.40

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Solution

The fourth proportional to 77,020.80, 115,336.80 and 50,582.40 is: 75,745.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,020.80 : 115,336.80 = 50,582.40 : x
  2. Step 2: Convert to fraction form
    77,020.80/115,336.80 = 50,582.40/x
  3. Step 3: Cross multiply
    77,020.80x = 115,336.80 × 50,582.40
  4. Step 4: Simplify right side
    77,020.80x = 5,834,012,152.32
  5. Step 5: Solve for x
    x = 5,834,012,152.32/77,020.80
  6. Step 6: Final answer
    x = 75,745.93

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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.