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Finding the Fourth Proportional to 213,607.20, 320,410.80 and 119,128.80

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Solution

The fourth proportional to 213,607.20, 320,410.80 and 119,128.80 is: 178,693.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,607.20 : 320,410.80 = 119,128.80 : x
  2. Step 2: Convert to fraction form
    213,607.20/320,410.80 = 119,128.80/x
  3. Step 3: Cross multiply
    213,607.20x = 320,410.80 × 119,128.80
  4. Step 4: Simplify right side
    213,607.20x = 38,170,154,111.04
  5. Step 5: Solve for x
    x = 38,170,154,111.04/213,607.20
  6. Step 6: Final answer
    x = 178,693.20

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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.