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Finding the Fourth Proportional to 286,191.84, 429,282.72 and 99,200.64

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Solution

The fourth proportional to 286,191.84, 429,282.72 and 99,200.64 is: 148,799.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,191.84 : 429,282.72 = 99,200.64 : x
  2. Step 2: Convert to fraction form
    286,191.84/429,282.72 = 99,200.64/x
  3. Step 3: Cross multiply
    286,191.84x = 429,282.72 × 99,200.64
  4. Step 4: Simplify right side
    286,191.84x = 42,585,120,564.94
  5. Step 5: Solve for x
    x = 42,585,120,564.94/286,191.84
  6. Step 6: Final answer
    x = 148,799.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.