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Finding the Fourth Proportional to 205,807.60, 309,028.20 and 112,495.60

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Solution

The fourth proportional to 205,807.60, 309,028.20 and 112,495.60 is: 168,916.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,807.60 : 309,028.20 = 112,495.60 : x
  2. Step 2: Convert to fraction form
    205,807.60/309,028.20 = 112,495.60/x
  3. Step 3: Cross multiply
    205,807.60x = 309,028.20 × 112,495.60
  4. Step 4: Simplify right side
    205,807.60x = 34,764,312,775.92
  5. Step 5: Solve for x
    x = 34,764,312,775.92/205,807.60
  6. Step 6: Final answer
    x = 168,916.56

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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.