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Finding the Fourth Proportional to 153,096, 229,212.64 and 115,536.70

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Solution

The fourth proportional to 153,096, 229,212.64 and 115,536.70 is: 172,979.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,096 : 229,212.64 = 115,536.70 : x
  2. Step 2: Convert to fraction form
    153,096/229,212.64 = 115,536.70/x
  3. Step 3: Cross multiply
    153,096x = 229,212.64 × 115,536.70
  4. Step 4: Simplify right side
    153,096x = 26,482,472,023.89
  5. Step 5: Solve for x
    x = 26,482,472,023.89/153,096
  6. Step 6: Final answer
    x = 172,979.52

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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.