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Finding the Fourth Proportional to 66,546.54, 91,849.02 and 42,342.81

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Solution

The fourth proportional to 66,546.54, 91,849.02 and 42,342.81 is: 58,442.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,546.54 : 91,849.02 = 42,342.81 : x
  2. Step 2: Convert to fraction form
    66,546.54/91,849.02 = 42,342.81/x
  3. Step 3: Cross multiply
    66,546.54x = 91,849.02 × 42,342.81
  4. Step 4: Simplify right side
    66,546.54x = 3,889,145,602.55
  5. Step 5: Solve for x
    x = 3,889,145,602.55/66,546.54
  6. Step 6: Final answer
    x = 58,442.49

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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.