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Finding the Fourth Proportional to 153,510.62, 229,840.79 and 78,469.16

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Solution

The fourth proportional to 153,510.62, 229,840.79 and 78,469.16 is: 117,486.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,510.62 : 229,840.79 = 78,469.16 : x
  2. Step 2: Convert to fraction form
    153,510.62/229,840.79 = 78,469.16/x
  3. Step 3: Cross multiply
    153,510.62x = 229,840.79 × 78,469.16
  4. Step 4: Simplify right side
    153,510.62x = 18,035,412,183.49
  5. Step 5: Solve for x
    x = 18,035,412,183.49/153,510.62
  6. Step 6: Final answer
    x = 117,486.42

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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.