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Finding the Fourth Proportional to 56,874.65, 78,486.48 and 31,381.25

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Solution

The fourth proportional to 56,874.65, 78,486.48 and 31,381.25 is: 43,305.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,874.65 : 78,486.48 = 31,381.25 : x
  2. Step 2: Convert to fraction form
    56,874.65/78,486.48 = 31,381.25/x
  3. Step 3: Cross multiply
    56,874.65x = 78,486.48 × 31,381.25
  4. Step 4: Simplify right side
    56,874.65x = 2,463,003,458.07
  5. Step 5: Solve for x
    x = 2,463,003,458.07/56,874.65
  6. Step 6: Final answer
    x = 43,305.83

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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.