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Finding the Fourth Proportional to 205,145.80, 307,718.70 and 188,038.60

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Solution

The fourth proportional to 205,145.80, 307,718.70 and 188,038.60 is: 282,057.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,145.80 : 307,718.70 = 188,038.60 : x
  2. Step 2: Convert to fraction form
    205,145.80/307,718.70 = 188,038.60/x
  3. Step 3: Cross multiply
    205,145.80x = 307,718.70 × 188,038.60
  4. Step 4: Simplify right side
    205,145.80x = 57,862,993,541.82
  5. Step 5: Solve for x
    x = 57,862,993,541.82/205,145.80
  6. Step 6: Final answer
    x = 282,057.90

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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.