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Finding the Fourth Proportional to 286,138.86, 429,286.05 and 99,164.94

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Solution

The fourth proportional to 286,138.86, 429,286.05 and 99,164.94 is: 148,774.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,138.86 : 429,286.05 = 99,164.94 : x
  2. Step 2: Convert to fraction form
    286,138.86/429,286.05 = 99,164.94/x
  3. Step 3: Cross multiply
    286,138.86x = 429,286.05 × 99,164.94
  4. Step 4: Simplify right side
    286,138.86x = 42,570,125,391.09
  5. Step 5: Solve for x
    x = 42,570,125,391.09/286,138.86
  6. Step 6: Final answer
    x = 148,774.36

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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.