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Finding the Fourth Proportional to 78,886.84, 108,863.58 and 47,057.08

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Solution

The fourth proportional to 78,886.84, 108,863.58 and 47,057.08 is: 64,938.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,886.84 : 108,863.58 = 47,057.08 : x
  2. Step 2: Convert to fraction form
    78,886.84/108,863.58 = 47,057.08/x
  3. Step 3: Cross multiply
    78,886.84x = 108,863.58 × 47,057.08
  4. Step 4: Simplify right side
    78,886.84x = 5,122,802,193.15
  5. Step 5: Solve for x
    x = 5,122,802,193.15/78,886.84
  6. Step 6: Final answer
    x = 64,938.62

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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.