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Finding the Fourth Proportional to 89,460.63, 134,164.15 and 29,478

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Solution

The fourth proportional to 89,460.63, 134,164.15 and 29,478 is: 44,208.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,460.63 : 134,164.15 = 29,478 : x
  2. Step 2: Convert to fraction form
    89,460.63/134,164.15 = 29,478/x
  3. Step 3: Cross multiply
    89,460.63x = 134,164.15 × 29,478
  4. Step 4: Simplify right side
    89,460.63x = 3,954,890,813.70
  5. Step 5: Solve for x
    x = 3,954,890,813.70/89,460.63
  6. Step 6: Final answer
    x = 44,208.17

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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.