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Finding the Fourth Proportional to 286,176.64, 429,282.14 and 75,814

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Solution

The fourth proportional to 286,176.64, 429,282.14 and 75,814 is: 113,725.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,176.64 : 429,282.14 = 75,814 : x
  2. Step 2: Convert to fraction form
    286,176.64/429,282.14 = 75,814/x
  3. Step 3: Cross multiply
    286,176.64x = 429,282.14 × 75,814
  4. Step 4: Simplify right side
    286,176.64x = 32,545,596,161.96
  5. Step 5: Solve for x
    x = 32,545,596,161.96/286,176.64
  6. Step 6: Final answer
    x = 113,725.55

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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.