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Finding the Fourth Proportional to 201,987.46, 278,730.88 and 115,926.58

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Solution

The fourth proportional to 201,987.46, 278,730.88 and 115,926.58 is: 159,971.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,987.46 : 278,730.88 = 115,926.58 : x
  2. Step 2: Convert to fraction form
    201,987.46/278,730.88 = 115,926.58/x
  3. Step 3: Cross multiply
    201,987.46x = 278,730.88 × 115,926.58
  4. Step 4: Simplify right side
    201,987.46x = 32,312,317,658.79
  5. Step 5: Solve for x
    x = 32,312,317,658.79/201,987.46
  6. Step 6: Final answer
    x = 159,971.90

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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.