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Finding the Fourth Proportional to 213,092.51, 319,690.80 and 70,937.51

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Solution

The fourth proportional to 213,092.51, 319,690.80 and 70,937.51 is: 106,423.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,092.51 : 319,690.80 = 70,937.51 : x
  2. Step 2: Convert to fraction form
    213,092.51/319,690.80 = 70,937.51/x
  3. Step 3: Cross multiply
    213,092.51x = 319,690.80 × 70,937.51
  4. Step 4: Simplify right side
    213,092.51x = 22,678,067,723.45
  5. Step 5: Solve for x
    x = 22,678,067,723.45/213,092.51
  6. Step 6: Final answer
    x = 106,423.58

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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.