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Finding the Fourth Proportional to 205,871.60, 308,730.60 and 81,186.80

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Solution

The fourth proportional to 205,871.60, 308,730.60 and 81,186.80 is: 121,749.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,871.60 : 308,730.60 = 81,186.80 : x
  2. Step 2: Convert to fraction form
    205,871.60/308,730.60 = 81,186.80/x
  3. Step 3: Cross multiply
    205,871.60x = 308,730.60 × 81,186.80
  4. Step 4: Simplify right side
    205,871.60x = 25,064,849,476.08
  5. Step 5: Solve for x
    x = 25,064,849,476.08/205,871.60
  6. Step 6: Final answer
    x = 121,749.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.