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Finding the Fourth Proportional to 130,045.20, 195,067.80 and 36,538.80

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Solution

The fourth proportional to 130,045.20, 195,067.80 and 36,538.80 is: 54,808.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,045.20 : 195,067.80 = 36,538.80 : x
  2. Step 2: Convert to fraction form
    130,045.20/195,067.80 = 36,538.80/x
  3. Step 3: Cross multiply
    130,045.20x = 195,067.80 × 36,538.80
  4. Step 4: Simplify right side
    130,045.20x = 7,127,543,330.64
  5. Step 5: Solve for x
    x = 7,127,543,330.64/130,045.20
  6. Step 6: Final answer
    x = 54,808.20

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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.