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Finding the Fourth Proportional to 77,007.68, 106,211.76 and 53,174.24

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Solution

The fourth proportional to 77,007.68, 106,211.76 and 53,174.24 is: 73,339.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,007.68 : 106,211.76 = 53,174.24 : x
  2. Step 2: Convert to fraction form
    77,007.68/106,211.76 = 53,174.24/x
  3. Step 3: Cross multiply
    77,007.68x = 106,211.76 × 53,174.24
  4. Step 4: Simplify right side
    77,007.68x = 5,647,729,617.06
  5. Step 5: Solve for x
    x = 5,647,729,617.06/77,007.68
  6. Step 6: Final answer
    x = 73,339.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.