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Finding the Fourth Proportional to 89,005.50, 122,827.96 and 49,261.50

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Solution

The fourth proportional to 89,005.50, 122,827.96 and 49,261.50 is: 67,981.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,005.50 : 122,827.96 = 49,261.50 : x
  2. Step 2: Convert to fraction form
    89,005.50/122,827.96 = 49,261.50/x
  3. Step 3: Cross multiply
    89,005.50x = 122,827.96 × 49,261.50
  4. Step 4: Simplify right side
    89,005.50x = 6,050,689,551.54
  5. Step 5: Solve for x
    x = 6,050,689,551.54/89,005.50
  6. Step 6: Final answer
    x = 67,981.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.