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Finding the Fourth Proportional to 76,072.92, 104,980.02 and 42,538.92

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Solution

The fourth proportional to 76,072.92, 104,980.02 and 42,538.92 is: 58,703.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,072.92 : 104,980.02 = 42,538.92 : x
  2. Step 2: Convert to fraction form
    76,072.92/104,980.02 = 42,538.92/x
  3. Step 3: Cross multiply
    76,072.92x = 104,980.02 × 42,538.92
  4. Step 4: Simplify right side
    76,072.92x = 4,465,736,672.38
  5. Step 5: Solve for x
    x = 4,465,736,672.38/76,072.92
  6. Step 6: Final answer
    x = 58,703.37

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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.