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Finding the Fourth Proportional to 70,901.92, 106,358.82 and 18,312.40

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Solution

The fourth proportional to 70,901.92, 106,358.82 and 18,312.40 is: 27,470.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,901.92 : 106,358.82 = 18,312.40 : x
  2. Step 2: Convert to fraction form
    70,901.92/106,358.82 = 18,312.40/x
  3. Step 3: Cross multiply
    70,901.92x = 106,358.82 × 18,312.40
  4. Step 4: Simplify right side
    70,901.92x = 1,947,685,255.37
  5. Step 5: Solve for x
    x = 1,947,685,255.37/70,901.92
  6. Step 6: Final answer
    x = 27,470.13

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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.