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Finding the Fourth Proportional to 205,079.40, 307,619.10 and 86,711.40

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Solution

The fourth proportional to 205,079.40, 307,619.10 and 86,711.40 is: 130,067.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,079.40 : 307,619.10 = 86,711.40 : x
  2. Step 2: Convert to fraction form
    205,079.40/307,619.10 = 86,711.40/x
  3. Step 3: Cross multiply
    205,079.40x = 307,619.10 × 86,711.40
  4. Step 4: Simplify right side
    205,079.40x = 26,674,082,827.74
  5. Step 5: Solve for x
    x = 26,674,082,827.74/205,079.40
  6. Step 6: Final answer
    x = 130,067.10

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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.