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Finding the Fourth Proportional to 142,778.40, 214,167.60 and 136,217.40

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Solution

The fourth proportional to 142,778.40, 214,167.60 and 136,217.40 is: 204,326.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,778.40 : 214,167.60 = 136,217.40 : x
  2. Step 2: Convert to fraction form
    142,778.40/214,167.60 = 136,217.40/x
  3. Step 3: Cross multiply
    142,778.40x = 214,167.60 × 136,217.40
  4. Step 4: Simplify right side
    142,778.40x = 29,173,353,636.24
  5. Step 5: Solve for x
    x = 29,173,353,636.24/142,778.40
  6. Step 6: Final answer
    x = 204,326.10

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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.