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Finding the Fourth Proportional to 78,857.64, 108,797.70 and 56,200.20

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Solution

The fourth proportional to 78,857.64, 108,797.70 and 56,200.20 is: 77,537.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,857.64 : 108,797.70 = 56,200.20 : x
  2. Step 2: Convert to fraction form
    78,857.64/108,797.70 = 56,200.20/x
  3. Step 3: Cross multiply
    78,857.64x = 108,797.70 × 56,200.20
  4. Step 4: Simplify right side
    78,857.64x = 6,114,452,499.54
  5. Step 5: Solve for x
    x = 6,114,452,499.54/78,857.64
  6. Step 6: Final answer
    x = 77,537.86

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1.5x scale

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.