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Finding the Fourth Proportional to 208,111.97, 312,155.13 and 128,165.17

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Solution

The fourth proportional to 208,111.97, 312,155.13 and 128,165.17 is: 192,239.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,111.97 : 312,155.13 = 128,165.17 : x
  2. Step 2: Convert to fraction form
    208,111.97/312,155.13 = 128,165.17/x
  3. Step 3: Cross multiply
    208,111.97x = 312,155.13 × 128,165.17
  4. Step 4: Simplify right side
    208,111.97x = 40,007,413,742.05
  5. Step 5: Solve for x
    x = 40,007,413,742.05/208,111.97
  6. Step 6: Final answer
    x = 192,239.85

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1.5x scale

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.