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Finding the Fourth Proportional to 149,041.68, 205,678.38 and 81,059.28

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Solution

The fourth proportional to 149,041.68, 205,678.38 and 81,059.28 is: 111,862.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,041.68 : 205,678.38 = 81,059.28 : x
  2. Step 2: Convert to fraction form
    149,041.68/205,678.38 = 81,059.28/x
  3. Step 3: Cross multiply
    149,041.68x = 205,678.38 × 81,059.28
  4. Step 4: Simplify right side
    149,041.68x = 16,672,141,394.37
  5. Step 5: Solve for x
    x = 16,672,141,394.37/149,041.68
  6. Step 6: Final answer
    x = 111,862.27

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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.