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Finding the Fourth Proportional to 286,107.62, 429,072.12 and 99,075.38

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Solution

The fourth proportional to 286,107.62, 429,072.12 and 99,075.38 is: 148,582.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,107.62 : 429,072.12 = 99,075.38 : x
  2. Step 2: Convert to fraction form
    286,107.62/429,072.12 = 99,075.38/x
  3. Step 3: Cross multiply
    286,107.62x = 429,072.12 × 99,075.38
  4. Step 4: Simplify right side
    286,107.62x = 42,510,481,191.05
  5. Step 5: Solve for x
    x = 42,510,481,191.05/286,107.62
  6. Step 6: Final answer
    x = 148,582.14

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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.