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Finding the Fourth Proportional to 128,601.07, 193,021.29 and 65,468.45

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Solution

The fourth proportional to 128,601.07, 193,021.29 and 65,468.45 is: 98,263.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,601.07 : 193,021.29 = 65,468.45 : x
  2. Step 2: Convert to fraction form
    128,601.07/193,021.29 = 65,468.45/x
  3. Step 3: Cross multiply
    128,601.07x = 193,021.29 × 65,468.45
  4. Step 4: Simplify right side
    128,601.07x = 12,636,805,155.85
  5. Step 5: Solve for x
    x = 12,636,805,155.85/128,601.07
  6. Step 6: Final answer
    x = 98,263.61

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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.