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Finding the Fourth Proportional to 109,916.80, 164,880.60 and 57,428.80

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Solution

The fourth proportional to 109,916.80, 164,880.60 and 57,428.80 is: 86,146.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,916.80 : 164,880.60 = 57,428.80 : x
  2. Step 2: Convert to fraction form
    109,916.80/164,880.60 = 57,428.80/x
  3. Step 3: Cross multiply
    109,916.80x = 164,880.60 × 57,428.80
  4. Step 4: Simplify right side
    109,916.80x = 9,468,895,001.28
  5. Step 5: Solve for x
    x = 9,468,895,001.28/109,916.80
  6. Step 6: Final answer
    x = 86,146.02

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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.