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Finding the Fourth Proportional to 205,055.30, 307,473.60 and 86,592.80

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Solution

The fourth proportional to 205,055.30, 307,473.60 and 86,592.80 is: 129,843.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,055.30 : 307,473.60 = 86,592.80 : x
  2. Step 2: Convert to fraction form
    205,055.30/307,473.60 = 86,592.80/x
  3. Step 3: Cross multiply
    205,055.30x = 307,473.60 × 86,592.80
  4. Step 4: Simplify right side
    205,055.30x = 26,624,999,950.08
  5. Step 5: Solve for x
    x = 26,624,999,950.08/205,055.30
  6. Step 6: Final answer
    x = 129,843.02

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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.