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Finding the Fourth Proportional to 213,240.65, 319,754.03 and 71,035.97

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Solution

The fourth proportional to 213,240.65, 319,754.03 and 71,035.97 is: 106,518.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,240.65 : 319,754.03 = 71,035.97 : x
  2. Step 2: Convert to fraction form
    213,240.65/319,754.03 = 71,035.97/x
  3. Step 3: Cross multiply
    213,240.65x = 319,754.03 × 71,035.97
  4. Step 4: Simplify right side
    213,240.65x = 22,714,035,728.51
  5. Step 5: Solve for x
    x = 22,714,035,728.51/213,240.65
  6. Step 6: Final answer
    x = 106,518.32

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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.