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Finding the Fourth Proportional to 119,405.16, 164,783.88 and 65,694.60

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Solution

The fourth proportional to 119,405.16, 164,783.88 and 65,694.60 is: 90,661.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,405.16 : 164,783.88 = 65,694.60 : x
  2. Step 2: Convert to fraction form
    119,405.16/164,783.88 = 65,694.60/x
  3. Step 3: Cross multiply
    119,405.16x = 164,783.88 × 65,694.60
  4. Step 4: Simplify right side
    119,405.16x = 10,825,411,083.05
  5. Step 5: Solve for x
    x = 10,825,411,083.05/119,405.16
  6. Step 6: Final answer
    x = 90,661.17

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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.