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Finding the Fourth Proportional to 213,620.58, 320,707.89 and 142,995.06

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Solution

The fourth proportional to 213,620.58, 320,707.89 and 142,995.06 is: 214,678.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,620.58 : 320,707.89 = 142,995.06 : x
  2. Step 2: Convert to fraction form
    213,620.58/320,707.89 = 142,995.06/x
  3. Step 3: Cross multiply
    213,620.58x = 320,707.89 × 142,995.06
  4. Step 4: Simplify right side
    213,620.58x = 45,859,643,973.02
  5. Step 5: Solve for x
    x = 45,859,643,973.02/213,620.58
  6. Step 6: Final answer
    x = 214,678.02

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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.