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Finding the Fourth Proportional to 213,891.84, 321,148.80 and 157,904.64

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Solution

The fourth proportional to 213,891.84, 321,148.80 and 157,904.64 is: 237,086.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,891.84 : 321,148.80 = 157,904.64 : x
  2. Step 2: Convert to fraction form
    213,891.84/321,148.80 = 157,904.64/x
  3. Step 3: Cross multiply
    213,891.84x = 321,148.80 × 157,904.64
  4. Step 4: Simplify right side
    213,891.84x = 50,710,885,650.43
  5. Step 5: Solve for x
    x = 50,710,885,650.43/213,891.84
  6. Step 6: Final answer
    x = 237,086.58

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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.