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Finding the Fourth Proportional to 198,602, 274,304.76 and 131,417.36

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Solution

The fourth proportional to 198,602, 274,304.76 and 131,417.36 is: 181,510.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,602 : 274,304.76 = 131,417.36 : x
  2. Step 2: Convert to fraction form
    198,602/274,304.76 = 131,417.36/x
  3. Step 3: Cross multiply
    198,602x = 274,304.76 × 131,417.36
  4. Step 4: Simplify right side
    198,602x = 36,048,407,394.63
  5. Step 5: Solve for x
    x = 36,048,407,394.63/198,602
  6. Step 6: Final answer
    x = 181,510.80

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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.