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Finding the Fourth Proportional to 203,095.40, 304,730.14 and 78,523.88

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Solution

The fourth proportional to 203,095.40, 304,730.14 and 78,523.88 is: 117,819.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,095.40 : 304,730.14 = 78,523.88 : x
  2. Step 2: Convert to fraction form
    203,095.40/304,730.14 = 78,523.88/x
  3. Step 3: Cross multiply
    203,095.40x = 304,730.14 × 78,523.88
  4. Step 4: Simplify right side
    203,095.40x = 23,928,592,945.74
  5. Step 5: Solve for x
    x = 23,928,592,945.74/203,095.40
  6. Step 6: Final answer
    x = 117,819.47

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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.