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Finding the Fourth Proportional to 281,315.58, 422,045.87 and 101,393.82

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Solution

The fourth proportional to 281,315.58, 422,045.87 and 101,393.82 is: 152,116.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,315.58 : 422,045.87 = 101,393.82 : x
  2. Step 2: Convert to fraction form
    281,315.58/422,045.87 = 101,393.82/x
  3. Step 3: Cross multiply
    281,315.58x = 422,045.87 × 101,393.82
  4. Step 4: Simplify right side
    281,315.58x = 42,792,842,467.55
  5. Step 5: Solve for x
    x = 42,792,842,467.55/281,315.58
  6. Step 6: Final answer
    x = 152,116.86

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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.