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Finding the Fourth Proportional to 242,670.20, 364,221.30 and 142,705.40

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Solution

The fourth proportional to 242,670.20, 364,221.30 and 142,705.40 is: 214,185.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,670.20 : 364,221.30 = 142,705.40 : x
  2. Step 2: Convert to fraction form
    242,670.20/364,221.30 = 142,705.40/x
  3. Step 3: Cross multiply
    242,670.20x = 364,221.30 × 142,705.40
  4. Step 4: Simplify right side
    242,670.20x = 51,976,346,305.02
  5. Step 5: Solve for x
    x = 51,976,346,305.02/242,670.20
  6. Step 6: Final answer
    x = 214,185.12

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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.