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Finding the Fourth Proportional to 215,308.64, 297,091.68 and 119,815.04

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Solution

The fourth proportional to 215,308.64, 297,091.68 and 119,815.04 is: 165,325.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,308.64 : 297,091.68 = 119,815.04 : x
  2. Step 2: Convert to fraction form
    215,308.64/297,091.68 = 119,815.04/x
  3. Step 3: Cross multiply
    215,308.64x = 297,091.68 × 119,815.04
  4. Step 4: Simplify right side
    215,308.64x = 35,596,051,522.87
  5. Step 5: Solve for x
    x = 35,596,051,522.87/215,308.64
  6. Step 6: Final answer
    x = 165,325.70

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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.