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Finding the Fourth Proportional to 106,916.20, 160,028.70 and 83,415.40

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Solution

The fourth proportional to 106,916.20, 160,028.70 and 83,415.40 is: 124,853.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,916.20 : 160,028.70 = 83,415.40 : x
  2. Step 2: Convert to fraction form
    106,916.20/160,028.70 = 83,415.40/x
  3. Step 3: Cross multiply
    106,916.20x = 160,028.70 × 83,415.40
  4. Step 4: Simplify right side
    106,916.20x = 13,348,858,021.98
  5. Step 5: Solve for x
    x = 13,348,858,021.98/106,916.20
  6. Step 6: Final answer
    x = 124,853.46

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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.