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Finding the Fourth Proportional to 213,497.88, 319,987.84 and 156,812.36

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Solution

The fourth proportional to 213,497.88, 319,987.84 and 156,812.36 is: 235,028.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,497.88 : 319,987.84 = 156,812.36 : x
  2. Step 2: Convert to fraction form
    213,497.88/319,987.84 = 156,812.36/x
  3. Step 3: Cross multiply
    213,497.88x = 319,987.84 × 156,812.36
  4. Step 4: Simplify right side
    213,497.88x = 50,178,048,361.70
  5. Step 5: Solve for x
    x = 50,178,048,361.70/213,497.88
  6. Step 6: Final answer
    x = 235,028.32

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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.