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Finding the Fourth Proportional to 153,089.72, 229,420.74 and 74,183

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Solution

The fourth proportional to 153,089.72, 229,420.74 and 74,183 is: 111,170.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,089.72 : 229,420.74 = 74,183 : x
  2. Step 2: Convert to fraction form
    153,089.72/229,420.74 = 74,183/x
  3. Step 3: Cross multiply
    153,089.72x = 229,420.74 × 74,183
  4. Step 4: Simplify right side
    153,089.72x = 17,019,118,755.42
  5. Step 5: Solve for x
    x = 17,019,118,755.42/153,089.72
  6. Step 6: Final answer
    x = 111,170.88

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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.