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Finding the Fourth Proportional to 213,661.84, 320,510.94 and 55,890.04

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Solution

The fourth proportional to 213,661.84, 320,510.94 and 55,890.04 is: 83,839.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,661.84 : 320,510.94 = 55,890.04 : x
  2. Step 2: Convert to fraction form
    213,661.84/320,510.94 = 55,890.04/x
  3. Step 3: Cross multiply
    213,661.84x = 320,510.94 × 55,890.04
  4. Step 4: Simplify right side
    213,661.84x = 17,913,369,257.04
  5. Step 5: Solve for x
    x = 17,913,369,257.04/213,661.84
  6. Step 6: Final answer
    x = 83,839.82

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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.