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Finding the Fourth Proportional to 281,347.74, 422,006.94 and 70,987.50

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Solution

The fourth proportional to 281,347.74, 422,006.94 and 70,987.50 is: 106,477.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,347.74 : 422,006.94 = 70,987.50 : x
  2. Step 2: Convert to fraction form
    281,347.74/422,006.94 = 70,987.50/x
  3. Step 3: Cross multiply
    281,347.74x = 422,006.94 × 70,987.50
  4. Step 4: Simplify right side
    281,347.74x = 29,957,217,653.25
  5. Step 5: Solve for x
    x = 29,957,217,653.25/281,347.74
  6. Step 6: Final answer
    x = 106,477.55

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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.