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Finding the Fourth Proportional to 69,857.94, 96,401.28 and 39,641.46

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Solution

The fourth proportional to 69,857.94, 96,401.28 and 39,641.46 is: 54,703.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,857.94 : 96,401.28 = 39,641.46 : x
  2. Step 2: Convert to fraction form
    69,857.94/96,401.28 = 39,641.46/x
  3. Step 3: Cross multiply
    69,857.94x = 96,401.28 × 39,641.46
  4. Step 4: Simplify right side
    69,857.94x = 3,821,487,485.07
  5. Step 5: Solve for x
    x = 3,821,487,485.07/69,857.94
  6. Step 6: Final answer
    x = 54,703.70

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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.