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Finding the Fourth Proportional to 213,215.76, 319,784.94 and 55,434.42

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Solution

The fourth proportional to 213,215.76, 319,784.94 and 55,434.42 is: 83,141.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,215.76 : 319,784.94 = 55,434.42 : x
  2. Step 2: Convert to fraction form
    213,215.76/319,784.94 = 55,434.42/x
  3. Step 3: Cross multiply
    213,215.76x = 319,784.94 × 55,434.42
  4. Step 4: Simplify right side
    213,215.76x = 17,727,092,673.63
  5. Step 5: Solve for x
    x = 17,727,092,673.63/213,215.76
  6. Step 6: Final answer
    x = 83,141.57

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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.