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Finding the Fourth Proportional to 242,571.20, 364,072.80 and 142,606.40

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Solution

The fourth proportional to 242,571.20, 364,072.80 and 142,606.40 is: 214,036.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,571.20 : 364,072.80 = 142,606.40 : x
  2. Step 2: Convert to fraction form
    242,571.20/364,072.80 = 142,606.40/x
  3. Step 3: Cross multiply
    242,571.20x = 364,072.80 × 142,606.40
  4. Step 4: Simplify right side
    242,571.20x = 51,919,111,345.92
  5. Step 5: Solve for x
    x = 51,919,111,345.92/242,571.20
  6. Step 6: Final answer
    x = 214,036.59

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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.