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Finding the Fourth Proportional to 133,705.67, 200,423.49 and 83,820.80

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Solution

The fourth proportional to 133,705.67, 200,423.49 and 83,820.80 is: 125,646.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,705.67 : 200,423.49 = 83,820.80 : x
  2. Step 2: Convert to fraction form
    133,705.67/200,423.49 = 83,820.80/x
  3. Step 3: Cross multiply
    133,705.67x = 200,423.49 × 83,820.80
  4. Step 4: Simplify right side
    133,705.67x = 16,799,657,270.59
  5. Step 5: Solve for x
    x = 16,799,657,270.59/133,705.67
  6. Step 6: Final answer
    x = 125,646.56

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1.5x scale

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.