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Finding the Fourth Proportional to 133,082.78, 183,657.02 and 72,655.97

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Solution

The fourth proportional to 133,082.78, 183,657.02 and 72,655.97 is: 100,266.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,082.78 : 183,657.02 = 72,655.97 : x
  2. Step 2: Convert to fraction form
    133,082.78/183,657.02 = 72,655.97/x
  3. Step 3: Cross multiply
    133,082.78x = 183,657.02 × 72,655.97
  4. Step 4: Simplify right side
    133,082.78x = 13,343,778,935.41
  5. Step 5: Solve for x
    x = 13,343,778,935.41/133,082.78
  6. Step 6: Final answer
    x = 100,266.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.