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Finding the Fourth Proportional to 72,199, 99,634.64 and 40,367.20

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Solution

The fourth proportional to 72,199, 99,634.64 and 40,367.20 is: 55,706.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,199 : 99,634.64 = 40,367.20 : x
  2. Step 2: Convert to fraction form
    72,199/99,634.64 = 40,367.20/x
  3. Step 3: Cross multiply
    72,199x = 99,634.64 × 40,367.20
  4. Step 4: Simplify right side
    72,199x = 4,021,971,439.81
  5. Step 5: Solve for x
    x = 4,021,971,439.81/72,199
  6. Step 6: Final answer
    x = 55,706.75

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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.