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Finding the Fourth Proportional to 70,944.16, 106,407.52 and 18,349.20

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Solution

The fourth proportional to 70,944.16, 106,407.52 and 18,349.20 is: 27,521.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,944.16 : 106,407.52 = 18,349.20 : x
  2. Step 2: Convert to fraction form
    70,944.16/106,407.52 = 18,349.20/x
  3. Step 3: Cross multiply
    70,944.16x = 106,407.52 × 18,349.20
  4. Step 4: Simplify right side
    70,944.16x = 1,952,492,865.98
  5. Step 5: Solve for x
    x = 1,952,492,865.98/70,944.16
  6. Step 6: Final answer
    x = 27,521.54

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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.