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Finding the Fourth Proportional to 56,700.78, 78,247.08 and 32,828.70

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Solution

The fourth proportional to 56,700.78, 78,247.08 and 32,828.70 is: 45,303.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,700.78 : 78,247.08 = 32,828.70 : x
  2. Step 2: Convert to fraction form
    56,700.78/78,247.08 = 32,828.70/x
  3. Step 3: Cross multiply
    56,700.78x = 78,247.08 × 32,828.70
  4. Step 4: Simplify right side
    56,700.78x = 2,568,749,915.20
  5. Step 5: Solve for x
    x = 2,568,749,915.20/56,700.78
  6. Step 6: Final answer
    x = 45,303.61

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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.