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Finding the Fourth Proportional to 71,783.16, 107,149.17 and 66,579.18

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Solution

The fourth proportional to 71,783.16, 107,149.17 and 66,579.18 is: 99,381.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,783.16 : 107,149.17 = 66,579.18 : x
  2. Step 2: Convert to fraction form
    71,783.16/107,149.17 = 66,579.18/x
  3. Step 3: Cross multiply
    71,783.16x = 107,149.17 × 66,579.18
  4. Step 4: Simplify right side
    71,783.16x = 7,133,903,876.28
  5. Step 5: Solve for x
    x = 7,133,903,876.28/71,783.16
  6. Step 6: Final answer
    x = 99,381.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.