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Finding the Fourth Proportional to 201,761.84, 278,489.40 and 134,888.24

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Solution

The fourth proportional to 201,761.84, 278,489.40 and 134,888.24 is: 186,184.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,761.84 : 278,489.40 = 134,888.24 : x
  2. Step 2: Convert to fraction form
    201,761.84/278,489.40 = 134,888.24/x
  3. Step 3: Cross multiply
    201,761.84x = 278,489.40 × 134,888.24
  4. Step 4: Simplify right side
    201,761.84x = 37,564,945,024.66
  5. Step 5: Solve for x
    x = 37,564,945,024.66/201,761.84
  6. Step 6: Final answer
    x = 186,184.59

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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.