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Finding the Fourth Proportional to 261,396.43, 392,113.39 and 109,440.59

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Solution

The fourth proportional to 261,396.43, 392,113.39 and 109,440.59 is: 164,168.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,396.43 : 392,113.39 = 109,440.59 : x
  2. Step 2: Convert to fraction form
    261,396.43/392,113.39 = 109,440.59/x
  3. Step 3: Cross multiply
    261,396.43x = 392,113.39 × 109,440.59
  4. Step 4: Simplify right side
    261,396.43x = 42,913,121,671.72
  5. Step 5: Solve for x
    x = 42,913,121,671.72/261,396.43
  6. Step 6: Final answer
    x = 164,168.74

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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.