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Finding the Fourth Proportional to 213,065.46, 319,740.75 and 88,406.46

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Solution

The fourth proportional to 213,065.46, 319,740.75 and 88,406.46 is: 132,668.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,065.46 : 319,740.75 = 88,406.46 : x
  2. Step 2: Convert to fraction form
    213,065.46/319,740.75 = 88,406.46/x
  3. Step 3: Cross multiply
    213,065.46x = 319,740.75 × 88,406.46
  4. Step 4: Simplify right side
    213,065.46x = 28,267,147,825.25
  5. Step 5: Solve for x
    x = 28,267,147,825.25/213,065.46
  6. Step 6: Final answer
    x = 132,668.84

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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.