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Finding the Fourth Proportional to 47,100, 70,644.78 and 13,820.34

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Solution

The fourth proportional to 47,100, 70,644.78 and 13,820.34 is: 20,728.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,100 : 70,644.78 = 13,820.34 : x
  2. Step 2: Convert to fraction form
    47,100/70,644.78 = 13,820.34/x
  3. Step 3: Cross multiply
    47,100x = 70,644.78 × 13,820.34
  4. Step 4: Simplify right side
    47,100x = 976,334,878.83
  5. Step 5: Solve for x
    x = 976,334,878.83/47,100
  6. Step 6: Final answer
    x = 20,728.98

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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.