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Finding the Fourth Proportional to 288,109.98, 432,161.49 and 74,859.03

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Solution

The fourth proportional to 288,109.98, 432,161.49 and 74,859.03 is: 112,287.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,109.98 : 432,161.49 = 74,859.03 : x
  2. Step 2: Convert to fraction form
    288,109.98/432,161.49 = 74,859.03/x
  3. Step 3: Cross multiply
    288,109.98x = 432,161.49 × 74,859.03
  4. Step 4: Simplify right side
    288,109.98x = 32,351,189,944.75
  5. Step 5: Solve for x
    x = 32,351,189,944.75/288,109.98
  6. Step 6: Final answer
    x = 112,287.64

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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.