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Finding the Fourth Proportional to 213,169.34, 319,785.59 and 70,968.17

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Solution

The fourth proportional to 213,169.34, 319,785.59 and 70,968.17 is: 106,462.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,169.34 : 319,785.59 = 70,968.17 : x
  2. Step 2: Convert to fraction form
    213,169.34/319,785.59 = 70,968.17/x
  3. Step 3: Cross multiply
    213,169.34x = 319,785.59 × 70,968.17
  4. Step 4: Simplify right side
    213,169.34x = 22,694,596,693.16
  5. Step 5: Solve for x
    x = 22,694,596,693.16/213,169.34
  6. Step 6: Final answer
    x = 106,462.76

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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.