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Finding the Fourth Proportional to 213,986.40, 320,672.40 and 157,384.80

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Solution

The fourth proportional to 213,986.40, 320,672.40 and 157,384.80 is: 235,851.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,986.40 : 320,672.40 = 157,384.80 : x
  2. Step 2: Convert to fraction form
    213,986.40/320,672.40 = 157,384.80/x
  3. Step 3: Cross multiply
    213,986.40x = 320,672.40 × 157,384.80
  4. Step 4: Simplify right side
    213,986.40x = 50,468,961,539.52
  5. Step 5: Solve for x
    x = 50,468,961,539.52/213,986.40
  6. Step 6: Final answer
    x = 235,851.26

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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.