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Finding the Fourth Proportional to 47,099, 70,643.28 and 13,819.34

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Solution

The fourth proportional to 47,099, 70,643.28 and 13,819.34 is: 20,727.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,099 : 70,643.28 = 13,819.34 : x
  2. Step 2: Convert to fraction form
    47,099/70,643.28 = 13,819.34/x
  3. Step 3: Cross multiply
    47,099x = 70,643.28 × 13,819.34
  4. Step 4: Simplify right side
    47,099x = 976,243,505.04
  5. Step 5: Solve for x
    x = 976,243,505.04/47,099
  6. Step 6: Final answer
    x = 20,727.48

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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.