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Finding the Fourth Proportional to 219,856.60, 329,784.90 and 70,095.70

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Solution

The fourth proportional to 219,856.60, 329,784.90 and 70,095.70 is: 105,143.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,856.60 : 329,784.90 = 70,095.70 : x
  2. Step 2: Convert to fraction form
    219,856.60/329,784.90 = 70,095.70/x
  3. Step 3: Cross multiply
    219,856.60x = 329,784.90 × 70,095.70
  4. Step 4: Simplify right side
    219,856.60x = 23,116,503,414.93
  5. Step 5: Solve for x
    x = 23,116,503,414.93/219,856.60
  6. Step 6: Final answer
    x = 105,143.55

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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.