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Finding the Fourth Proportional to 130,385, 195,577.74 and 47,279.24

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Solution

The fourth proportional to 130,385, 195,577.74 and 47,279.24 is: 70,918.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,385 : 195,577.74 = 47,279.24 : x
  2. Step 2: Convert to fraction form
    130,385/195,577.74 = 47,279.24/x
  3. Step 3: Cross multiply
    130,385x = 195,577.74 × 47,279.24
  4. Step 4: Simplify right side
    130,385x = 9,246,766,908.12
  5. Step 5: Solve for x
    x = 9,246,766,908.12/130,385
  6. Step 6: Final answer
    x = 70,918.95

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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.