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Finding the Fourth Proportional to 128,518.35, 192,678.65 and 65,286.51

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Solution

The fourth proportional to 128,518.35, 192,678.65 and 65,286.51 is: 97,879.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,518.35 : 192,678.65 = 65,286.51 : x
  2. Step 2: Convert to fraction form
    128,518.35/192,678.65 = 65,286.51/x
  3. Step 3: Cross multiply
    128,518.35x = 192,678.65 × 65,286.51
  4. Step 4: Simplify right side
    128,518.35x = 12,579,316,283.58
  5. Step 5: Solve for x
    x = 12,579,316,283.58/128,518.35
  6. Step 6: Final answer
    x = 97,879.53

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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.