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Finding the Fourth Proportional to 89,259.94, 133,747.62 and 47,138.32

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Solution

The fourth proportional to 89,259.94, 133,747.62 and 47,138.32 is: 70,632.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,259.94 : 133,747.62 = 47,138.32 : x
  2. Step 2: Convert to fraction form
    89,259.94/133,747.62 = 47,138.32/x
  3. Step 3: Cross multiply
    89,259.94x = 133,747.62 × 47,138.32
  4. Step 4: Simplify right side
    89,259.94x = 6,304,638,110.80
  5. Step 5: Solve for x
    x = 6,304,638,110.80/89,259.94
  6. Step 6: Final answer
    x = 70,632.34

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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.