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Finding the Fourth Proportional to 119,410.21, 178,918.48 and 69,349.78

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Solution

The fourth proportional to 119,410.21, 178,918.48 and 69,349.78 is: 103,910.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,410.21 : 178,918.48 = 69,349.78 : x
  2. Step 2: Convert to fraction form
    119,410.21/178,918.48 = 69,349.78/x
  3. Step 3: Cross multiply
    119,410.21x = 178,918.48 × 69,349.78
  4. Step 4: Simplify right side
    119,410.21x = 12,407,956,605.26
  5. Step 5: Solve for x
    x = 12,407,956,605.26/119,410.21
  6. Step 6: Final answer
    x = 103,910.35

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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.