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Finding the Fourth Proportional to 89,614, 134,421 and 31,246

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Solution

The fourth proportional to 89,614, 134,421 and 31,246 is: 46,869

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,614 : 134,421 = 31,246 : x
  2. Step 2: Convert to fraction form
    89,614/134,421 = 31,246/x
  3. Step 3: Cross multiply
    89,614x = 134,421 × 31,246
  4. Step 4: Simplify right side
    89,614x = 4,200,118,566
  5. Step 5: Solve for x
    x = 4,200,118,566/89,614
  6. Step 6: Final answer
    x = 46,869

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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.