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Finding the Fourth Proportional to 56,905.53, 78,448 and 44,785

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Solution

The fourth proportional to 56,905.53, 78,448 and 44,785 is: 61,739.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,905.53 : 78,448 = 44,785 : x
  2. Step 2: Convert to fraction form
    56,905.53/78,448 = 44,785/x
  3. Step 3: Cross multiply
    56,905.53x = 78,448 × 44,785
  4. Step 4: Simplify right side
    56,905.53x = 3,513,293,680
  5. Step 5: Solve for x
    x = 3,513,293,680/56,905.53
  6. Step 6: Final answer
    x = 61,739.06

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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.