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Finding the Fourth Proportional to 208,599.69, 312,929.37 and 64,516.62

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Solution

The fourth proportional to 208,599.69, 312,929.37 and 64,516.62 is: 96,784.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,599.69 : 312,929.37 = 64,516.62 : x
  2. Step 2: Convert to fraction form
    208,599.69/312,929.37 = 64,516.62/x
  3. Step 3: Cross multiply
    208,599.69x = 312,929.37 × 64,516.62
  4. Step 4: Simplify right side
    208,599.69x = 20,189,145,251.13
  5. Step 5: Solve for x
    x = 20,189,145,251.13/208,599.69
  6. Step 6: Final answer
    x = 96,784.16

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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.