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Finding the Fourth Proportional to 208,009.93, 312,061.64 and 65,863.71

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Solution

The fourth proportional to 208,009.93, 312,061.64 and 65,863.71 is: 98,810.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,009.93 : 312,061.64 = 65,863.71 : x
  2. Step 2: Convert to fraction form
    208,009.93/312,061.64 = 65,863.71/x
  3. Step 3: Cross multiply
    208,009.93x = 312,061.64 × 65,863.71
  4. Step 4: Simplify right side
    208,009.93x = 20,553,537,359.08
  5. Step 5: Solve for x
    x = 20,553,537,359.08/208,009.93
  6. Step 6: Final answer
    x = 98,810.37

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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.