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Finding the Fourth Proportional to 208,224.30, 312,464.92 and 81,842.34

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Solution

The fourth proportional to 208,224.30, 312,464.92 and 81,842.34 is: 122,814.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,224.30 : 312,464.92 = 81,842.34 : x
  2. Step 2: Convert to fraction form
    208,224.30/312,464.92 = 81,842.34/x
  3. Step 3: Cross multiply
    208,224.30x = 312,464.92 × 81,842.34
  4. Step 4: Simplify right side
    208,224.30x = 25,572,860,220.71
  5. Step 5: Solve for x
    x = 25,572,860,220.71/208,224.30
  6. Step 6: Final answer
    x = 122,814.00

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1.5x scale

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.