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Finding the Fourth Proportional to 56,800, 78,380.74 and 32,595.84

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Solution

The fourth proportional to 56,800, 78,380.74 and 32,595.84 is: 44,980.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,800 : 78,380.74 = 32,595.84 : x
  2. Step 2: Convert to fraction form
    56,800/78,380.74 = 32,595.84/x
  3. Step 3: Cross multiply
    56,800x = 78,380.74 × 32,595.84
  4. Step 4: Simplify right side
    56,800x = 2,554,886,060.12
  5. Step 5: Solve for x
    x = 2,554,886,060.12/56,800
  6. Step 6: Final answer
    x = 44,980.39

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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.