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Finding the Fourth Proportional to 61,678.32, 85,116.18 and 33,384

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Solution

The fourth proportional to 61,678.32, 85,116.18 and 33,384 is: 46,069.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,678.32 : 85,116.18 = 33,384 : x
  2. Step 2: Convert to fraction form
    61,678.32/85,116.18 = 33,384/x
  3. Step 3: Cross multiply
    61,678.32x = 85,116.18 × 33,384
  4. Step 4: Simplify right side
    61,678.32x = 2,841,518,553.12
  5. Step 5: Solve for x
    x = 2,841,518,553.12/61,678.32
  6. Step 6: Final answer
    x = 46,069.97

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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.