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Finding the Fourth Proportional to 65,789.76, 90,681.12 and 49,016.64

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Solution

The fourth proportional to 65,789.76, 90,681.12 and 49,016.64 is: 67,561.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,789.76 : 90,681.12 = 49,016.64 : x
  2. Step 2: Convert to fraction form
    65,789.76/90,681.12 = 49,016.64/x
  3. Step 3: Cross multiply
    65,789.76x = 90,681.12 × 49,016.64
  4. Step 4: Simplify right side
    65,789.76x = 4,444,883,813.84
  5. Step 5: Solve for x
    x = 4,444,883,813.84/65,789.76
  6. Step 6: Final answer
    x = 67,561.94

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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.