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Finding the Fourth Proportional to 208,693.98, 312,784.43 and 96,218.07

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Solution

The fourth proportional to 208,693.98, 312,784.43 and 96,218.07 is: 144,208.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,693.98 : 312,784.43 = 96,218.07 : x
  2. Step 2: Convert to fraction form
    208,693.98/312,784.43 = 96,218.07/x
  3. Step 3: Cross multiply
    208,693.98x = 312,784.43 × 96,218.07
  4. Step 4: Simplify right side
    208,693.98x = 30,095,513,699.56
  5. Step 5: Solve for x
    x = 30,095,513,699.56/208,693.98
  6. Step 6: Final answer
    x = 144,208.83

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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.