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Finding the Fourth Proportional to 47,256.70, 70,917.45 and 20,980.30

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Solution

The fourth proportional to 47,256.70, 70,917.45 and 20,980.30 is: 31,484.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,256.70 : 70,917.45 = 20,980.30 : x
  2. Step 2: Convert to fraction form
    47,256.70/70,917.45 = 20,980.30/x
  3. Step 3: Cross multiply
    47,256.70x = 70,917.45 × 20,980.30
  4. Step 4: Simplify right side
    47,256.70x = 1,487,869,376.24
  5. Step 5: Solve for x
    x = 1,487,869,376.24/47,256.70
  6. Step 6: Final answer
    x = 31,484.83

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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.