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Finding the Fourth Proportional to 47,703.78, 65,861.46 and 30,714.30

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Solution

The fourth proportional to 47,703.78, 65,861.46 and 30,714.30 is: 42,405.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,703.78 : 65,861.46 = 30,714.30 : x
  2. Step 2: Convert to fraction form
    47,703.78/65,861.46 = 30,714.30/x
  3. Step 3: Cross multiply
    47,703.78x = 65,861.46 × 30,714.30
  4. Step 4: Simplify right side
    47,703.78x = 2,022,888,640.88
  5. Step 5: Solve for x
    x = 2,022,888,640.88/47,703.78
  6. Step 6: Final answer
    x = 42,405.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.