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Finding the Fourth Proportional to 205,297.77, 308,140.40 and 105,528.02

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Solution

The fourth proportional to 205,297.77, 308,140.40 and 105,528.02 is: 158,391.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,297.77 : 308,140.40 = 105,528.02 : x
  2. Step 2: Convert to fraction form
    205,297.77/308,140.40 = 105,528.02/x
  3. Step 3: Cross multiply
    205,297.77x = 308,140.40 × 105,528.02
  4. Step 4: Simplify right side
    205,297.77x = 32,517,446,294.01
  5. Step 5: Solve for x
    x = 32,517,446,294.01/205,297.77
  6. Step 6: Final answer
    x = 158,391.62

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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.