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Finding the Fourth Proportional to 205,555.28, 308,267.30 and 65,281.10

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Solution

The fourth proportional to 205,555.28, 308,267.30 and 65,281.10 is: 97,900.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,555.28 : 308,267.30 = 65,281.10 : x
  2. Step 2: Convert to fraction form
    205,555.28/308,267.30 = 65,281.10/x
  3. Step 3: Cross multiply
    205,555.28x = 308,267.30 × 65,281.10
  4. Step 4: Simplify right side
    205,555.28x = 20,124,028,438.03
  5. Step 5: Solve for x
    x = 20,124,028,438.03/205,555.28
  6. Step 6: Final answer
    x = 97,900.81

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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.