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Finding the Fourth Proportional to 213,108.84, 319,726.40 and 70,972.44

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Solution

The fourth proportional to 213,108.84, 319,726.40 and 70,972.44 is: 106,479.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,108.84 : 319,726.40 = 70,972.44 : x
  2. Step 2: Convert to fraction form
    213,108.84/319,726.40 = 70,972.44/x
  3. Step 3: Cross multiply
    213,108.84x = 319,726.40 × 70,972.44
  4. Step 4: Simplify right side
    213,108.84x = 22,691,762,740.42
  5. Step 5: Solve for x
    x = 22,691,762,740.42/213,108.84
  6. Step 6: Final answer
    x = 106,479.69

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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.