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Finding the Fourth Proportional to 201,774.48, 278,438.02 and 115,729

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Solution

The fourth proportional to 201,774.48, 278,438.02 and 115,729 is: 159,699.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,774.48 : 278,438.02 = 115,729 : x
  2. Step 2: Convert to fraction form
    201,774.48/278,438.02 = 115,729/x
  3. Step 3: Cross multiply
    201,774.48x = 278,438.02 × 115,729
  4. Step 4: Simplify right side
    201,774.48x = 32,223,353,616.58
  5. Step 5: Solve for x
    x = 32,223,353,616.58/201,774.48
  6. Step 6: Final answer
    x = 159,699.85

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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.