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Finding the Fourth Proportional to 242,568.70, 364,069.05 and 142,603.90

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Solution

The fourth proportional to 242,568.70, 364,069.05 and 142,603.90 is: 214,032.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,568.70 : 364,069.05 = 142,603.90 : x
  2. Step 2: Convert to fraction form
    242,568.70/364,069.05 = 142,603.90/x
  3. Step 3: Cross multiply
    242,568.70x = 364,069.05 × 142,603.90
  4. Step 4: Simplify right side
    242,568.70x = 51,917,666,399.30
  5. Step 5: Solve for x
    x = 51,917,666,399.30/242,568.70
  6. Step 6: Final answer
    x = 214,032.83

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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.