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Finding the Fourth Proportional to 250,262, 345,361.74 and 137,085.20

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Solution

The fourth proportional to 250,262, 345,361.74 and 137,085.20 is: 189,177.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,262 : 345,361.74 = 137,085.20 : x
  2. Step 2: Convert to fraction form
    250,262/345,361.74 = 137,085.20/x
  3. Step 3: Cross multiply
    250,262x = 345,361.74 × 137,085.20
  4. Step 4: Simplify right side
    250,262x = 47,343,983,200.25
  5. Step 5: Solve for x
    x = 47,343,983,200.25/250,262
  6. Step 6: Final answer
    x = 189,177.67

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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.