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Finding the Fourth Proportional to 213,891.54, 320,726.55 and 114,024.91

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Solution

The fourth proportional to 213,891.54, 320,726.55 and 114,024.91 is: 170,978.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,891.54 : 320,726.55 = 114,024.91 : x
  2. Step 2: Convert to fraction form
    213,891.54/320,726.55 = 114,024.91/x
  3. Step 3: Cross multiply
    213,891.54x = 320,726.55 × 114,024.91
  4. Step 4: Simplify right side
    213,891.54x = 36,570,815,998.36
  5. Step 5: Solve for x
    x = 36,570,815,998.36/213,891.54
  6. Step 6: Final answer
    x = 170,978.32

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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.