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Finding the Fourth Proportional to 213,827.38, 320,758.38 and 56,055.38

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Solution

The fourth proportional to 213,827.38, 320,758.38 and 56,055.38 is: 84,087.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,827.38 : 320,758.38 = 56,055.38 : x
  2. Step 2: Convert to fraction form
    213,827.38/320,758.38 = 56,055.38/x
  3. Step 3: Cross multiply
    213,827.38x = 320,758.38 × 56,055.38
  4. Step 4: Simplify right side
    213,827.38x = 17,980,231,275.29
  5. Step 5: Solve for x
    x = 17,980,231,275.29/213,827.38
  6. Step 6: Final answer
    x = 84,087.60

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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.