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Finding the Fourth Proportional to 144,758.14, 217,181.12 and 69,864.32

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Solution

The fourth proportional to 144,758.14, 217,181.12 and 69,864.32 is: 104,817.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,758.14 : 217,181.12 = 69,864.32 : x
  2. Step 2: Convert to fraction form
    144,758.14/217,181.12 = 69,864.32/x
  3. Step 3: Cross multiply
    144,758.14x = 217,181.12 × 69,864.32
  4. Step 4: Simplify right side
    144,758.14x = 15,173,211,459.27
  5. Step 5: Solve for x
    x = 15,173,211,459.27/144,758.14
  6. Step 6: Final answer
    x = 104,817.68

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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.