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Finding the Fourth Proportional to 56,755.94, 85,186.42 and 28,695.78

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Solution

The fourth proportional to 56,755.94, 85,186.42 and 28,695.78 is: 43,070.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,755.94 : 85,186.42 = 28,695.78 : x
  2. Step 2: Convert to fraction form
    56,755.94/85,186.42 = 28,695.78/x
  3. Step 3: Cross multiply
    56,755.94x = 85,186.42 × 28,695.78
  4. Step 4: Simplify right side
    56,755.94x = 2,444,490,767.31
  5. Step 5: Solve for x
    x = 2,444,490,767.31/56,755.94
  6. Step 6: Final answer
    x = 43,070.22

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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.