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Finding the Fourth Proportional to 213,064.21, 319,738.88 and 88,405.21

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Solution

The fourth proportional to 213,064.21, 319,738.88 and 88,405.21 is: 132,666.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,064.21 : 319,738.88 = 88,405.21 : x
  2. Step 2: Convert to fraction form
    213,064.21/319,738.88 = 88,405.21/x
  3. Step 3: Cross multiply
    213,064.21x = 319,738.88 × 88,405.21
  4. Step 4: Simplify right side
    213,064.21x = 28,266,582,831.56
  5. Step 5: Solve for x
    x = 28,266,582,831.56/213,064.21
  6. Step 6: Final answer
    x = 132,666.97

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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.