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Finding the Fourth Proportional to 102,422.80, 153,634.20 and 74,429.20

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Solution

The fourth proportional to 102,422.80, 153,634.20 and 74,429.20 is: 111,643.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,422.80 : 153,634.20 = 74,429.20 : x
  2. Step 2: Convert to fraction form
    102,422.80/153,634.20 = 74,429.20/x
  3. Step 3: Cross multiply
    102,422.80x = 153,634.20 × 74,429.20
  4. Step 4: Simplify right side
    102,422.80x = 11,434,870,598.64
  5. Step 5: Solve for x
    x = 11,434,870,598.64/102,422.80
  6. Step 6: Final answer
    x = 111,643.80

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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.