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Finding the Fourth Proportional to 286,775.05, 429,911.07 and 109,163.92

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Solution

The fourth proportional to 286,775.05, 429,911.07 and 109,163.92 is: 163,650.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,775.05 : 429,911.07 = 109,163.92 : x
  2. Step 2: Convert to fraction form
    286,775.05/429,911.07 = 109,163.92/x
  3. Step 3: Cross multiply
    286,775.05x = 429,911.07 × 109,163.92
  4. Step 4: Simplify right side
    286,775.05x = 46,930,776,032.00
  5. Step 5: Solve for x
    x = 46,930,776,032.00/286,775.05
  6. Step 6: Final answer
    x = 163,650.14

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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.