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Finding the Fourth Proportional to 205,686.55, 308,552.51 and 65,412.37

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Solution

The fourth proportional to 205,686.55, 308,552.51 and 65,412.37 is: 98,125.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,686.55 : 308,552.51 = 65,412.37 : x
  2. Step 2: Convert to fraction form
    205,686.55/308,552.51 = 65,412.37/x
  3. Step 3: Cross multiply
    205,686.55x = 308,552.51 × 65,412.37
  4. Step 4: Simplify right side
    205,686.55x = 20,183,150,621.49
  5. Step 5: Solve for x
    x = 20,183,150,621.49/205,686.55
  6. Step 6: Final answer
    x = 98,125.77

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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.