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Finding the Fourth Proportional to 148,495, 204,923.14 and 81,428.44

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Solution

The fourth proportional to 148,495, 204,923.14 and 81,428.44 is: 112,371.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,495 : 204,923.14 = 81,428.44 : x
  2. Step 2: Convert to fraction form
    148,495/204,923.14 = 81,428.44/x
  3. Step 3: Cross multiply
    148,495x = 204,923.14 × 81,428.44
  4. Step 4: Simplify right side
    148,495x = 16,686,571,610.10
  5. Step 5: Solve for x
    x = 16,686,571,610.10/148,495
  6. Step 6: Final answer
    x = 112,371.27

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1.5x scale

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.