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Finding the Fourth Proportional to 213,374.34, 319,951.20 and 78,403.97

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Solution

The fourth proportional to 213,374.34, 319,951.20 and 78,403.97 is: 117,565.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,374.34 : 319,951.20 = 78,403.97 : x
  2. Step 2: Convert to fraction form
    213,374.34/319,951.20 = 78,403.97/x
  3. Step 3: Cross multiply
    213,374.34x = 319,951.20 × 78,403.97
  4. Step 4: Simplify right side
    213,374.34x = 25,085,442,686.51
  5. Step 5: Solve for x
    x = 25,085,442,686.51/213,374.34
  6. Step 6: Final answer
    x = 117,565.41

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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.