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Finding the Fourth Proportional to 131,692, 181,735.44 and 72,076

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Solution

The fourth proportional to 131,692, 181,735.44 and 72,076 is: 99,465.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,692 : 181,735.44 = 72,076 : x
  2. Step 2: Convert to fraction form
    131,692/181,735.44 = 72,076/x
  3. Step 3: Cross multiply
    131,692x = 181,735.44 × 72,076
  4. Step 4: Simplify right side
    131,692x = 13,098,763,573.44
  5. Step 5: Solve for x
    x = 13,098,763,573.44/131,692
  6. Step 6: Final answer
    x = 99,465.14

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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.