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Finding the Fourth Proportional to 144,871.32, 199,922.88 and 80,345.16

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Solution

The fourth proportional to 144,871.32, 199,922.88 and 80,345.16 is: 110,876.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,871.32 : 199,922.88 = 80,345.16 : x
  2. Step 2: Convert to fraction form
    144,871.32/199,922.88 = 80,345.16/x
  3. Step 3: Cross multiply
    144,871.32x = 199,922.88 × 80,345.16
  4. Step 4: Simplify right side
    144,871.32x = 16,062,835,781.26
  5. Step 5: Solve for x
    x = 16,062,835,781.26/144,871.32
  6. Step 6: Final answer
    x = 110,876.58

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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.