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Finding the Fourth Proportional to 235,021.56, 352,457.46 and 77,213.40

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Solution

The fourth proportional to 235,021.56, 352,457.46 and 77,213.40 is: 115,795.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,021.56 : 352,457.46 = 77,213.40 : x
  2. Step 2: Convert to fraction form
    235,021.56/352,457.46 = 77,213.40/x
  3. Step 3: Cross multiply
    235,021.56x = 352,457.46 × 77,213.40
  4. Step 4: Simplify right side
    235,021.56x = 27,214,438,841.96
  5. Step 5: Solve for x
    x = 27,214,438,841.96/235,021.56
  6. Step 6: Final answer
    x = 115,795.50

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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.