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Finding the Fourth Proportional to 213,103.98, 319,707.90 and 70,948.98

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Solution

The fourth proportional to 213,103.98, 319,707.90 and 70,948.98 is: 106,440.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,103.98 : 319,707.90 = 70,948.98 : x
  2. Step 2: Convert to fraction form
    213,103.98/319,707.90 = 70,948.98/x
  3. Step 3: Cross multiply
    213,103.98x = 319,707.90 × 70,948.98
  4. Step 4: Simplify right side
    213,103.98x = 22,682,949,402.94
  5. Step 5: Solve for x
    x = 22,682,949,402.94/213,103.98
  6. Step 6: Final answer
    x = 106,440.76

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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.