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Finding the Fourth Proportional to 77,643.40, 116,465.10 and 49,649.80

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Solution

The fourth proportional to 77,643.40, 116,465.10 and 49,649.80 is: 74,474.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,643.40 : 116,465.10 = 49,649.80 : x
  2. Step 2: Convert to fraction form
    77,643.40/116,465.10 = 49,649.80/x
  3. Step 3: Cross multiply
    77,643.40x = 116,465.10 × 49,649.80
  4. Step 4: Simplify right side
    77,643.40x = 5,782,468,921.98
  5. Step 5: Solve for x
    x = 5,782,468,921.98/77,643.40
  6. Step 6: Final answer
    x = 74,474.70

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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.