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Finding the Fourth Proportional to 56,755.80, 78,288.12 and 35,253

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Solution

The fourth proportional to 56,755.80, 78,288.12 and 35,253 is: 48,627.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,755.80 : 78,288.12 = 35,253 : x
  2. Step 2: Convert to fraction form
    56,755.80/78,288.12 = 35,253/x
  3. Step 3: Cross multiply
    56,755.80x = 78,288.12 × 35,253
  4. Step 4: Simplify right side
    56,755.80x = 2,759,891,094.36
  5. Step 5: Solve for x
    x = 2,759,891,094.36/56,755.80
  6. Step 6: Final answer
    x = 48,627.47

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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.