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Finding the Fourth Proportional to 208,097.02, 312,156.29 and 65,957.39

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Solution

The fourth proportional to 208,097.02, 312,156.29 and 65,957.39 is: 98,939.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,097.02 : 312,156.29 = 65,957.39 : x
  2. Step 2: Convert to fraction form
    208,097.02/312,156.29 = 65,957.39/x
  3. Step 3: Cross multiply
    208,097.02x = 312,156.29 × 65,957.39
  4. Step 4: Simplify right side
    208,097.02x = 20,589,014,160.48
  5. Step 5: Solve for x
    x = 20,589,014,160.48/208,097.02
  6. Step 6: Final answer
    x = 98,939.50

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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.