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Finding the Fourth Proportional to 77,018.25, 106,286 and 45,187.68

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Solution

The fourth proportional to 77,018.25, 106,286 and 45,187.68 is: 62,359.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,018.25 : 106,286 = 45,187.68 : x
  2. Step 2: Convert to fraction form
    77,018.25/106,286 = 45,187.68/x
  3. Step 3: Cross multiply
    77,018.25x = 106,286 × 45,187.68
  4. Step 4: Simplify right side
    77,018.25x = 4,802,817,756.48
  5. Step 5: Solve for x
    x = 4,802,817,756.48/77,018.25
  6. Step 6: Final answer
    x = 62,359.48

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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.