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Finding the Fourth Proportional to 205,311.90, 307,924.65 and 86,987.10

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Solution

The fourth proportional to 205,311.90, 307,924.65 and 86,987.10 is: 130,462.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,311.90 : 307,924.65 = 86,987.10 : x
  2. Step 2: Convert to fraction form
    205,311.90/307,924.65 = 86,987.10/x
  3. Step 3: Cross multiply
    205,311.90x = 307,924.65 × 86,987.10
  4. Step 4: Simplify right side
    205,311.90x = 26,785,472,322.02
  5. Step 5: Solve for x
    x = 26,785,472,322.02/205,311.90
  6. Step 6: Final answer
    x = 130,462.35

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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.