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Finding the Fourth Proportional to 208,009.44, 312,061.12 and 65,863.32

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Solution

The fourth proportional to 208,009.44, 312,061.12 and 65,863.32 is: 98,809.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,009.44 : 312,061.12 = 65,863.32 : x
  2. Step 2: Convert to fraction form
    208,009.44/312,061.12 = 65,863.32/x
  3. Step 3: Cross multiply
    208,009.44x = 312,061.12 × 65,863.32
  4. Step 4: Simplify right side
    208,009.44x = 20,553,381,406.12
  5. Step 5: Solve for x
    x = 20,553,381,406.12/208,009.44
  6. Step 6: Final answer
    x = 98,809.85

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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.