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Finding the Fourth Proportional to 56,506.78, 84,774.35 and 39,899.22

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Solution

The fourth proportional to 56,506.78, 84,774.35 and 39,899.22 is: 59,858.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,506.78 : 84,774.35 = 39,899.22 : x
  2. Step 2: Convert to fraction form
    56,506.78/84,774.35 = 39,899.22/x
  3. Step 3: Cross multiply
    56,506.78x = 84,774.35 × 39,899.22
  4. Step 4: Simplify right side
    56,506.78x = 3,382,430,441.01
  5. Step 5: Solve for x
    x = 3,382,430,441.01/56,506.78
  6. Step 6: Final answer
    x = 59,858.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.