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Finding the Fourth Proportional to 65,976.84, 90,989.21 and 51,444.58

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Solution

The fourth proportional to 65,976.84, 90,989.21 and 51,444.58 is: 70,947.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,976.84 : 90,989.21 = 51,444.58 : x
  2. Step 2: Convert to fraction form
    65,976.84/90,989.21 = 51,444.58/x
  3. Step 3: Cross multiply
    65,976.84x = 90,989.21 × 51,444.58
  4. Step 4: Simplify right side
    65,976.84x = 4,680,901,435.76
  5. Step 5: Solve for x
    x = 4,680,901,435.76/65,976.84
  6. Step 6: Final answer
    x = 70,947.65

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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.