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Finding the Fourth Proportional to 66,878.48, 92,082.48 and 56,786.96

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Solution

The fourth proportional to 66,878.48, 92,082.48 and 56,786.96 is: 78,187.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,878.48 : 92,082.48 = 56,786.96 : x
  2. Step 2: Convert to fraction form
    66,878.48/92,082.48 = 56,786.96/x
  3. Step 3: Cross multiply
    66,878.48x = 92,082.48 × 56,786.96
  4. Step 4: Simplify right side
    66,878.48x = 5,229,084,108.46
  5. Step 5: Solve for x
    x = 5,229,084,108.46/66,878.48
  6. Step 6: Final answer
    x = 78,187.84

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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.