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Finding the Fourth Proportional to 153,408, 229,849.92 and 108,814.08

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Solution

The fourth proportional to 153,408, 229,849.92 and 108,814.08 is: 163,035.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,408 : 229,849.92 = 108,814.08 : x
  2. Step 2: Convert to fraction form
    153,408/229,849.92 = 108,814.08/x
  3. Step 3: Cross multiply
    153,408x = 229,849.92 × 108,814.08
  4. Step 4: Simplify right side
    153,408x = 25,010,907,582.87
  5. Step 5: Solve for x
    x = 25,010,907,582.87/153,408
  6. Step 6: Final answer
    x = 163,035.22

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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.