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Finding the Fourth Proportional to 205,095.90, 307,643.85 and 86,727.90

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Solution

The fourth proportional to 205,095.90, 307,643.85 and 86,727.90 is: 130,091.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,095.90 : 307,643.85 = 86,727.90 : x
  2. Step 2: Convert to fraction form
    205,095.90/307,643.85 = 86,727.90/x
  3. Step 3: Cross multiply
    205,095.90x = 307,643.85 × 86,727.90
  4. Step 4: Simplify right side
    205,095.90x = 26,681,305,058.42
  5. Step 5: Solve for x
    x = 26,681,305,058.42/205,095.90
  6. Step 6: Final answer
    x = 130,091.85

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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.