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Finding the Fourth Proportional to 77,144.40, 115,643.70 and 45,578.70

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Solution

The fourth proportional to 77,144.40, 115,643.70 and 45,578.70 is: 68,324.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,144.40 : 115,643.70 = 45,578.70 : x
  2. Step 2: Convert to fraction form
    77,144.40/115,643.70 = 45,578.70/x
  3. Step 3: Cross multiply
    77,144.40x = 115,643.70 × 45,578.70
  4. Step 4: Simplify right side
    77,144.40x = 5,270,889,509.19
  5. Step 5: Solve for x
    x = 5,270,889,509.19/77,144.40
  6. Step 6: Final answer
    x = 68,324.98

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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.