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Finding the Fourth Proportional to 89,697.76, 123,783.04 and 49,411.64

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Solution

The fourth proportional to 89,697.76, 123,783.04 and 49,411.64 is: 68,188.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,697.76 : 123,783.04 = 49,411.64 : x
  2. Step 2: Convert to fraction form
    89,697.76/123,783.04 = 49,411.64/x
  3. Step 3: Cross multiply
    89,697.76x = 123,783.04 × 49,411.64
  4. Step 4: Simplify right side
    89,697.76x = 6,116,323,010.59
  5. Step 5: Solve for x
    x = 6,116,323,010.59/89,697.76
  6. Step 6: Final answer
    x = 68,188.14

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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.