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Finding the Fourth Proportional to 153,096.50, 229,213.40 and 115,537.20

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Solution

The fourth proportional to 153,096.50, 229,213.40 and 115,537.20 is: 172,980.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,096.50 : 229,213.40 = 115,537.20 : x
  2. Step 2: Convert to fraction form
    153,096.50/229,213.40 = 115,537.20/x
  3. Step 3: Cross multiply
    153,096.50x = 229,213.40 × 115,537.20
  4. Step 4: Simplify right side
    153,096.50x = 26,482,673,860.79
  5. Step 5: Solve for x
    x = 26,482,673,860.79/153,096.50
  6. Step 6: Final answer
    x = 172,980.28

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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.