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Finding the Fourth Proportional to 96,974, 133,825.74 and 63,440

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Solution

The fourth proportional to 96,974, 133,825.74 and 63,440 is: 87,548.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,974 : 133,825.74 = 63,440 : x
  2. Step 2: Convert to fraction form
    96,974/133,825.74 = 63,440/x
  3. Step 3: Cross multiply
    96,974x = 133,825.74 × 63,440
  4. Step 4: Simplify right side
    96,974x = 8,489,904,945.60
  5. Step 5: Solve for x
    x = 8,489,904,945.60/96,974
  6. Step 6: Final answer
    x = 87,548.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.