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Finding the Fourth Proportional to 77,710.20, 116,622.90 and 51,406.20

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Solution

The fourth proportional to 77,710.20, 116,622.90 and 51,406.20 is: 77,147.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,710.20 : 116,622.90 = 51,406.20 : x
  2. Step 2: Convert to fraction form
    77,710.20/116,622.90 = 51,406.20/x
  3. Step 3: Cross multiply
    77,710.20x = 116,622.90 × 51,406.20
  4. Step 4: Simplify right side
    77,710.20x = 5,995,140,121.98
  5. Step 5: Solve for x
    x = 5,995,140,121.98/77,710.20
  6. Step 6: Final answer
    x = 77,147.40

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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.