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Finding the Fourth Proportional to 208,592.63, 312,785.42 and 66,419.39

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Solution

The fourth proportional to 208,592.63, 312,785.42 and 66,419.39 is: 99,596.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,592.63 : 312,785.42 = 66,419.39 : x
  2. Step 2: Convert to fraction form
    208,592.63/312,785.42 = 66,419.39/x
  3. Step 3: Cross multiply
    208,592.63x = 312,785.42 × 66,419.39
  4. Step 4: Simplify right side
    208,592.63x = 20,775,014,901.27
  5. Step 5: Solve for x
    x = 20,775,014,901.27/208,592.63
  6. Step 6: Final answer
    x = 99,596.11

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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.