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Finding the Fourth Proportional to 205,533.87, 308,300.40 and 77,474.09

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Solution

The fourth proportional to 205,533.87, 308,300.40 and 77,474.09 is: 116,210.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,533.87 : 308,300.40 = 77,474.09 : x
  2. Step 2: Convert to fraction form
    205,533.87/308,300.40 = 77,474.09/x
  3. Step 3: Cross multiply
    205,533.87x = 308,300.40 × 77,474.09
  4. Step 4: Simplify right side
    205,533.87x = 23,885,291,395.13
  5. Step 5: Solve for x
    x = 23,885,291,395.13/205,533.87
  6. Step 6: Final answer
    x = 116,210.97

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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.