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Finding the Fourth Proportional to 301,097.90, 451,707.60 and 87,865.40

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Solution

The fourth proportional to 301,097.90, 451,707.60 and 87,865.40 is: 131,815.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,097.90 : 451,707.60 = 87,865.40 : x
  2. Step 2: Convert to fraction form
    301,097.90/451,707.60 = 87,865.40/x
  3. Step 3: Cross multiply
    301,097.90x = 451,707.60 × 87,865.40
  4. Step 4: Simplify right side
    301,097.90x = 39,689,468,957.04
  5. Step 5: Solve for x
    x = 39,689,468,957.04/301,097.90
  6. Step 6: Final answer
    x = 131,815.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.