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Finding the Fourth Proportional to 153,042.80, 229,564.20 and 135,984.20

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Solution

The fourth proportional to 153,042.80, 229,564.20 and 135,984.20 is: 203,976.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,042.80 : 229,564.20 = 135,984.20 : x
  2. Step 2: Convert to fraction form
    153,042.80/229,564.20 = 135,984.20/x
  3. Step 3: Cross multiply
    153,042.80x = 229,564.20 × 135,984.20
  4. Step 4: Simplify right side
    153,042.80x = 31,217,104,085.64
  5. Step 5: Solve for x
    x = 31,217,104,085.64/153,042.80
  6. Step 6: Final answer
    x = 203,976.30

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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.