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Finding the Fourth Proportional to 136,695.15, 205,033.61 and 65,668.68

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Solution

The fourth proportional to 136,695.15, 205,033.61 and 65,668.68 is: 98,498.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,695.15 : 205,033.61 = 65,668.68 : x
  2. Step 2: Convert to fraction form
    136,695.15/205,033.61 = 65,668.68/x
  3. Step 3: Cross multiply
    136,695.15x = 205,033.61 × 65,668.68
  4. Step 4: Simplify right side
    136,695.15x = 13,464,286,688.51
  5. Step 5: Solve for x
    x = 13,464,286,688.51/136,695.15
  6. Step 6: Final answer
    x = 98,498.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.