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Finding the Fourth Proportional to 242,561.20, 364,057.80 and 142,596.40

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Solution

The fourth proportional to 242,561.20, 364,057.80 and 142,596.40 is: 214,021.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,561.20 : 364,057.80 = 142,596.40 : x
  2. Step 2: Convert to fraction form
    242,561.20/364,057.80 = 142,596.40/x
  3. Step 3: Cross multiply
    242,561.20x = 364,057.80 × 142,596.40
  4. Step 4: Simplify right side
    242,561.20x = 51,913,331,671.92
  5. Step 5: Solve for x
    x = 51,913,331,671.92/242,561.20
  6. Step 6: Final answer
    x = 214,021.58

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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.