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Finding the Fourth Proportional to 77,370.53, 106,761.78 and 47,144.84

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Solution

The fourth proportional to 77,370.53, 106,761.78 and 47,144.84 is: 65,054.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,370.53 : 106,761.78 = 47,144.84 : x
  2. Step 2: Convert to fraction form
    77,370.53/106,761.78 = 47,144.84/x
  3. Step 3: Cross multiply
    77,370.53x = 106,761.78 × 47,144.84
  4. Step 4: Simplify right side
    77,370.53x = 5,033,266,502.41
  5. Step 5: Solve for x
    x = 5,033,266,502.41/77,370.53
  6. Step 6: Final answer
    x = 65,054.06

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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.