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Finding the Fourth Proportional to 145,913, 201,359.94 and 78,845

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Solution

The fourth proportional to 145,913, 201,359.94 and 78,845 is: 108,806.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,913 : 201,359.94 = 78,845 : x
  2. Step 2: Convert to fraction form
    145,913/201,359.94 = 78,845/x
  3. Step 3: Cross multiply
    145,913x = 201,359.94 × 78,845
  4. Step 4: Simplify right side
    145,913x = 15,876,224,469.30
  5. Step 5: Solve for x
    x = 15,876,224,469.30/145,913
  6. Step 6: Final answer
    x = 108,806.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.