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Finding the Fourth Proportional to 78,705.30, 108,654.84 and 63,224.08

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Solution

The fourth proportional to 78,705.30, 108,654.84 and 63,224.08 is: 87,282.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,705.30 : 108,654.84 = 63,224.08 : x
  2. Step 2: Convert to fraction form
    78,705.30/108,654.84 = 63,224.08/x
  3. Step 3: Cross multiply
    78,705.30x = 108,654.84 × 63,224.08
  4. Step 4: Simplify right side
    78,705.30x = 6,869,602,138.49
  5. Step 5: Solve for x
    x = 6,869,602,138.49/78,705.30
  6. Step 6: Final answer
    x = 87,282.59

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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.