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Finding the Fourth Proportional to 185,368.30, 278,311.65 and 115,384.30

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Solution

The fourth proportional to 185,368.30, 278,311.65 and 115,384.30 is: 173,237.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,368.30 : 278,311.65 = 115,384.30 : x
  2. Step 2: Convert to fraction form
    185,368.30/278,311.65 = 115,384.30/x
  3. Step 3: Cross multiply
    185,368.30x = 278,311.65 × 115,384.30
  4. Step 4: Simplify right side
    185,368.30x = 32,112,794,917.10
  5. Step 5: Solve for x
    x = 32,112,794,917.10/185,368.30
  6. Step 6: Final answer
    x = 173,237.79

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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.