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Finding the Fourth Proportional to 208,098.90, 311,457.15 and 145,890.90

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Solution

The fourth proportional to 208,098.90, 311,457.15 and 145,890.90 is: 218,351.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,098.90 : 311,457.15 = 145,890.90 : x
  2. Step 2: Convert to fraction form
    208,098.90/311,457.15 = 145,890.90/x
  3. Step 3: Cross multiply
    208,098.90x = 311,457.15 × 145,890.90
  4. Step 4: Simplify right side
    208,098.90x = 45,438,763,924.94
  5. Step 5: Solve for x
    x = 45,438,763,924.94/208,098.90
  6. Step 6: Final answer
    x = 218,351.77

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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.