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Finding the Fourth Proportional to 132,572.55, 182,954 and 72,147.11

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Solution

The fourth proportional to 132,572.55, 182,954 and 72,147.11 is: 99,565.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,572.55 : 182,954 = 72,147.11 : x
  2. Step 2: Convert to fraction form
    132,572.55/182,954 = 72,147.11/x
  3. Step 3: Cross multiply
    132,572.55x = 182,954 × 72,147.11
  4. Step 4: Simplify right side
    132,572.55x = 13,199,602,362.94
  5. Step 5: Solve for x
    x = 13,199,602,362.94/132,572.55
  6. Step 6: Final answer
    x = 99,565.12

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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.