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Finding the Fourth Proportional to 149,264.82, 205,980.01 and 81,280.30

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Solution

The fourth proportional to 149,264.82, 205,980.01 and 81,280.30 is: 112,163.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,264.82 : 205,980.01 = 81,280.30 : x
  2. Step 2: Convert to fraction form
    149,264.82/205,980.01 = 81,280.30/x
  3. Step 3: Cross multiply
    149,264.82x = 205,980.01 × 81,280.30
  4. Step 4: Simplify right side
    149,264.82x = 16,742,116,827.27
  5. Step 5: Solve for x
    x = 16,742,116,827.27/149,264.82
  6. Step 6: Final answer
    x = 112,163.85

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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.