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Finding the Fourth Proportional to 216,422.93, 298,663.00 and 120,929.69

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Solution

The fourth proportional to 216,422.93, 298,663.00 and 120,929.69 is: 166,882.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,422.93 : 298,663.00 = 120,929.69 : x
  2. Step 2: Convert to fraction form
    216,422.93/298,663.00 = 120,929.69/x
  3. Step 3: Cross multiply
    216,422.93x = 298,663.00 × 120,929.69
  4. Step 4: Simplify right side
    216,422.93x = 36,117,224,448.80
  5. Step 5: Solve for x
    x = 36,117,224,448.80/216,422.93
  6. Step 6: Final answer
    x = 166,882.61

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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.