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Finding the Fourth Proportional to 56,868.65, 78,478.19 and 31,375.22

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Solution

The fourth proportional to 56,868.65, 78,478.19 and 31,375.22 is: 43,297.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,868.65 : 78,478.19 = 31,375.22 : x
  2. Step 2: Convert to fraction form
    56,868.65/78,478.19 = 31,375.22/x
  3. Step 3: Cross multiply
    56,868.65x = 78,478.19 × 31,375.22
  4. Step 4: Simplify right side
    56,868.65x = 2,462,270,662.77
  5. Step 5: Solve for x
    x = 2,462,270,662.77/56,868.65
  6. Step 6: Final answer
    x = 43,297.51

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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.