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Finding the Fourth Proportional to 252,101, 347,895.06 and 137,380.70

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Solution

The fourth proportional to 252,101, 347,895.06 and 137,380.70 is: 189,583.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,101 : 347,895.06 = 137,380.70 : x
  2. Step 2: Convert to fraction form
    252,101/347,895.06 = 137,380.70/x
  3. Step 3: Cross multiply
    252,101x = 347,895.06 × 137,380.70
  4. Step 4: Simplify right side
    252,101x = 47,794,066,869.34
  5. Step 5: Solve for x
    x = 47,794,066,869.34/252,101
  6. Step 6: Final answer
    x = 189,583.01

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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.