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Finding the Fourth Proportional to 205,079.40, 307,287.90 and 116,068.20

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Solution

The fourth proportional to 205,079.40, 307,287.90 and 116,068.20 is: 173,914.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,079.40 : 307,287.90 = 116,068.20 : x
  2. Step 2: Convert to fraction form
    205,079.40/307,287.90 = 116,068.20/x
  3. Step 3: Cross multiply
    205,079.40x = 307,287.90 × 116,068.20
  4. Step 4: Simplify right side
    205,079.40x = 35,666,353,434.78
  5. Step 5: Solve for x
    x = 35,666,353,434.78/205,079.40
  6. Step 6: Final answer
    x = 173,914.85

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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.