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Finding the Fourth Proportional to 213,418.67, 320,128.02 and 55,646.69

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Solution

The fourth proportional to 213,418.67, 320,128.02 and 55,646.69 is: 83,470.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,418.67 : 320,128.02 = 55,646.69 : x
  2. Step 2: Convert to fraction form
    213,418.67/320,128.02 = 55,646.69/x
  3. Step 3: Cross multiply
    213,418.67x = 320,128.02 × 55,646.69
  4. Step 4: Simplify right side
    213,418.67x = 17,814,063,088.61
  5. Step 5: Solve for x
    x = 17,814,063,088.61/213,418.67
  6. Step 6: Final answer
    x = 83,470.03

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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.