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Finding the Fourth Proportional to 207,688.78, 311,555.04 and 102,406.60

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Solution

The fourth proportional to 207,688.78, 311,555.04 and 102,406.60 is: 153,620.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,688.78 : 311,555.04 = 102,406.60 : x
  2. Step 2: Convert to fraction form
    207,688.78/311,555.04 = 102,406.60/x
  3. Step 3: Cross multiply
    207,688.78x = 311,555.04 × 102,406.60
  4. Step 4: Simplify right side
    207,688.78x = 31,905,292,359.26
  5. Step 5: Solve for x
    x = 31,905,292,359.26/207,688.78
  6. Step 6: Final answer
    x = 153,620.68

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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.