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Finding the Fourth Proportional to 99,880.48, 137,802 and 65,905.84

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Solution

The fourth proportional to 99,880.48, 137,802 and 65,905.84 is: 90,928.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,880.48 : 137,802 = 65,905.84 : x
  2. Step 2: Convert to fraction form
    99,880.48/137,802 = 65,905.84/x
  3. Step 3: Cross multiply
    99,880.48x = 137,802 × 65,905.84
  4. Step 4: Simplify right side
    99,880.48x = 9,081,956,563.68
  5. Step 5: Solve for x
    x = 9,081,956,563.68/99,880.48
  6. Step 6: Final answer
    x = 90,928.24

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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.