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Finding the Fourth Proportional to 209,256.53, 313,786.36 and 146,147.91

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Solution

The fourth proportional to 209,256.53, 313,786.36 and 146,147.91 is: 219,153.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,256.53 : 313,786.36 = 146,147.91 : x
  2. Step 2: Convert to fraction form
    209,256.53/313,786.36 = 146,147.91/x
  3. Step 3: Cross multiply
    209,256.53x = 313,786.36 × 146,147.91
  4. Step 4: Simplify right side
    209,256.53x = 45,859,220,700.51
  5. Step 5: Solve for x
    x = 45,859,220,700.51/209,256.53
  6. Step 6: Final answer
    x = 219,153.12

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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.