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Finding the Fourth Proportional to 213,312.36, 319,967.40 and 55,540.56

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Solution

The fourth proportional to 213,312.36, 319,967.40 and 55,540.56 is: 83,310.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,312.36 : 319,967.40 = 55,540.56 : x
  2. Step 2: Convert to fraction form
    213,312.36/319,967.40 = 55,540.56/x
  3. Step 3: Cross multiply
    213,312.36x = 319,967.40 × 55,540.56
  4. Step 4: Simplify right side
    213,312.36x = 17,771,168,577.74
  5. Step 5: Solve for x
    x = 17,771,168,577.74/213,312.36
  6. Step 6: Final answer
    x = 83,310.54

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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.