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Finding the Fourth Proportional to 47,157.53, 70,747.53 and 13,878.68

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Solution

The fourth proportional to 47,157.53, 70,747.53 and 13,878.68 is: 20,821.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,157.53 : 70,747.53 = 13,878.68 : x
  2. Step 2: Convert to fraction form
    47,157.53/70,747.53 = 13,878.68/x
  3. Step 3: Cross multiply
    47,157.53x = 70,747.53 × 13,878.68
  4. Step 4: Simplify right side
    47,157.53x = 981,881,975.92
  5. Step 5: Solve for x
    x = 981,881,975.92/47,157.53
  6. Step 6: Final answer
    x = 20,821.32

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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.