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Finding the Fourth Proportional to 119,208.69, 164,509.81 and 65,494.75

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Solution

The fourth proportional to 119,208.69, 164,509.81 and 65,494.75 is: 90,383.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,208.69 : 164,509.81 = 65,494.75 : x
  2. Step 2: Convert to fraction form
    119,208.69/164,509.81 = 65,494.75/x
  3. Step 3: Cross multiply
    119,208.69x = 164,509.81 × 65,494.75
  4. Step 4: Simplify right side
    119,208.69x = 10,774,528,878.50
  5. Step 5: Solve for x
    x = 10,774,528,878.50/119,208.69
  6. Step 6: Final answer
    x = 90,383.75

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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.