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Finding the Fourth Proportional to 61,641, 85,065.19 and 33,347.30

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Solution

The fourth proportional to 61,641, 85,065.19 and 33,347.30 is: 46,019.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,641 : 85,065.19 = 33,347.30 : x
  2. Step 2: Convert to fraction form
    61,641/85,065.19 = 33,347.30/x
  3. Step 3: Cross multiply
    61,641x = 85,065.19 × 33,347.30
  4. Step 4: Simplify right side
    61,641x = 2,836,693,901.79
  5. Step 5: Solve for x
    x = 2,836,693,901.79/61,641
  6. Step 6: Final answer
    x = 46,019.60

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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.