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Finding the Fourth Proportional to 133,823.46, 200,671.63 and 77,680.79

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Solution

The fourth proportional to 133,823.46, 200,671.63 and 77,680.79 is: 116,484.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,823.46 : 200,671.63 = 77,680.79 : x
  2. Step 2: Convert to fraction form
    133,823.46/200,671.63 = 77,680.79/x
  3. Step 3: Cross multiply
    133,823.46x = 200,671.63 × 77,680.79
  4. Step 4: Simplify right side
    133,823.46x = 15,588,330,303.95
  5. Step 5: Solve for x
    x = 15,588,330,303.95/133,823.46
  6. Step 6: Final answer
    x = 116,484.29

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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.