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Finding the Fourth Proportional to 243,070.20, 364,821.30 and 143,105.40

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Solution

The fourth proportional to 243,070.20, 364,821.30 and 143,105.40 is: 214,785.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,070.20 : 364,821.30 = 143,105.40 : x
  2. Step 2: Convert to fraction form
    243,070.20/364,821.30 = 143,105.40/x
  3. Step 3: Cross multiply
    243,070.20x = 364,821.30 × 143,105.40
  4. Step 4: Simplify right side
    243,070.20x = 52,207,898,065.02
  5. Step 5: Solve for x
    x = 52,207,898,065.02/243,070.20
  6. Step 6: Final answer
    x = 214,785.27

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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.