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Finding the Fourth Proportional to 61,938, 85,476 and 33,643.68

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Solution

The fourth proportional to 61,938, 85,476 and 33,643.68 is: 46,429.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,938 : 85,476 = 33,643.68 : x
  2. Step 2: Convert to fraction form
    61,938/85,476 = 33,643.68/x
  3. Step 3: Cross multiply
    61,938x = 85,476 × 33,643.68
  4. Step 4: Simplify right side
    61,938x = 2,875,727,191.68
  5. Step 5: Solve for x
    x = 2,875,727,191.68/61,938
  6. Step 6: Final answer
    x = 46,429.13

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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.