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Finding the Fourth Proportional to 250,714.56, 345,980.16 and 137,536.32

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Solution

The fourth proportional to 250,714.56, 345,980.16 and 137,536.32 is: 189,796.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,714.56 : 345,980.16 = 137,536.32 : x
  2. Step 2: Convert to fraction form
    250,714.56/345,980.16 = 137,536.32/x
  3. Step 3: Cross multiply
    250,714.56x = 345,980.16 × 137,536.32
  4. Step 4: Simplify right side
    250,714.56x = 47,584,837,999.41
  5. Step 5: Solve for x
    x = 47,584,837,999.41/250,714.56
  6. Step 6: Final answer
    x = 189,796.87

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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.