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Finding the Fourth Proportional to 109,487.69, 164,256.14 and 39,367

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Solution

The fourth proportional to 109,487.69, 164,256.14 and 39,367 is: 59,059.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,487.69 : 164,256.14 = 39,367 : x
  2. Step 2: Convert to fraction form
    109,487.69/164,256.14 = 39,367/x
  3. Step 3: Cross multiply
    109,487.69x = 164,256.14 × 39,367
  4. Step 4: Simplify right side
    109,487.69x = 6,466,271,463.38
  5. Step 5: Solve for x
    x = 6,466,271,463.38/109,487.69
  6. Step 6: Final answer
    x = 59,059.35

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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.