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Finding the Fourth Proportional to 102,398.40, 153,619.20 and 43,203.60

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Solution

The fourth proportional to 102,398.40, 153,619.20 and 43,203.60 is: 64,814.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,398.40 : 153,619.20 = 43,203.60 : x
  2. Step 2: Convert to fraction form
    102,398.40/153,619.20 = 43,203.60/x
  3. Step 3: Cross multiply
    102,398.40x = 153,619.20 × 43,203.60
  4. Step 4: Simplify right side
    102,398.40x = 6,636,902,469.12
  5. Step 5: Solve for x
    x = 6,636,902,469.12/102,398.40
  6. Step 6: Final answer
    x = 64,814.51

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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.