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Finding the Fourth Proportional to 149,705.44, 206,608.80 and 86,045.92

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Solution

The fourth proportional to 149,705.44, 206,608.80 and 86,045.92 is: 118,752.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,705.44 : 206,608.80 = 86,045.92 : x
  2. Step 2: Convert to fraction form
    149,705.44/206,608.80 = 86,045.92/x
  3. Step 3: Cross multiply
    149,705.44x = 206,608.80 × 86,045.92
  4. Step 4: Simplify right side
    149,705.44x = 17,777,844,276.10
  5. Step 5: Solve for x
    x = 17,777,844,276.10/149,705.44
  6. Step 6: Final answer
    x = 118,752.16

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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.