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Finding the Fourth Proportional to 213,170.34, 319,787.09 and 70,969.17

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Solution

The fourth proportional to 213,170.34, 319,787.09 and 70,969.17 is: 106,464.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,170.34 : 319,787.09 = 70,969.17 : x
  2. Step 2: Convert to fraction form
    213,170.34/319,787.09 = 70,969.17/x
  3. Step 3: Cross multiply
    213,170.34x = 319,787.09 × 70,969.17
  4. Step 4: Simplify right side
    213,170.34x = 22,695,024,354.02
  5. Step 5: Solve for x
    x = 22,695,024,354.02/213,170.34
  6. Step 6: Final answer
    x = 106,464.27

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1.5x scale

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.