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Finding the Fourth Proportional to 99,804.84, 137,753.84 and 65,819.46

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Solution

The fourth proportional to 99,804.84, 137,753.84 and 65,819.46 is: 90,846.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,804.84 : 137,753.84 = 65,819.46 : x
  2. Step 2: Convert to fraction form
    99,804.84/137,753.84 = 65,819.46/x
  3. Step 3: Cross multiply
    99,804.84x = 137,753.84 × 65,819.46
  4. Step 4: Simplify right side
    99,804.84x = 9,066,883,032.63
  5. Step 5: Solve for x
    x = 9,066,883,032.63/99,804.84
  6. Step 6: Final answer
    x = 90,846.13

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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.