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Finding the Fourth Proportional to 208,010.41, 312,062.60 and 65,864.32

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Solution

The fourth proportional to 208,010.41, 312,062.60 and 65,864.32 is: 98,811.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,010.41 : 312,062.60 = 65,864.32 : x
  2. Step 2: Convert to fraction form
    208,010.41/312,062.60 = 65,864.32/x
  3. Step 3: Cross multiply
    208,010.41x = 312,062.60 × 65,864.32
  4. Step 4: Simplify right side
    208,010.41x = 20,553,790,946.43
  5. Step 5: Solve for x
    x = 20,553,790,946.43/208,010.41
  6. Step 6: Final answer
    x = 98,811.36

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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.