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Finding the Fourth Proportional to 78,197.22, 107,974.26 and 72,226.70

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Solution

The fourth proportional to 78,197.22, 107,974.26 and 72,226.70 is: 99,730.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,197.22 : 107,974.26 = 72,226.70 : x
  2. Step 2: Convert to fraction form
    78,197.22/107,974.26 = 72,226.70/x
  3. Step 3: Cross multiply
    78,197.22x = 107,974.26 × 72,226.70
  4. Step 4: Simplify right side
    78,197.22x = 7,798,624,484.74
  5. Step 5: Solve for x
    x = 7,798,624,484.74/78,197.22
  6. Step 6: Final answer
    x = 99,730.20

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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.