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Finding the Fourth Proportional to 133,044.19, 199,460.32 and 76,820.52

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Solution

The fourth proportional to 133,044.19, 199,460.32 and 76,820.52 is: 115,169.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,044.19 : 199,460.32 = 76,820.52 : x
  2. Step 2: Convert to fraction form
    133,044.19/199,460.32 = 76,820.52/x
  3. Step 3: Cross multiply
    133,044.19x = 199,460.32 × 76,820.52
  4. Step 4: Simplify right side
    133,044.19x = 15,322,645,501.77
  5. Step 5: Solve for x
    x = 15,322,645,501.77/133,044.19
  6. Step 6: Final answer
    x = 115,169.60

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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.