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Finding the Fourth Proportional to 89,783.76, 123,895.76 and 49,497.86

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Solution

The fourth proportional to 89,783.76, 123,895.76 and 49,497.86 is: 68,303.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,783.76 : 123,895.76 = 49,497.86 : x
  2. Step 2: Convert to fraction form
    89,783.76/123,895.76 = 49,497.86/x
  3. Step 3: Cross multiply
    89,783.76x = 123,895.76 × 49,497.86
  4. Step 4: Simplify right side
    89,783.76x = 6,132,574,983.07
  5. Step 5: Solve for x
    x = 6,132,574,983.07/89,783.76
  6. Step 6: Final answer
    x = 68,303.83

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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.