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Finding the Fourth Proportional to 205,374.94, 283,299.12 and 123,646.30

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Solution

The fourth proportional to 205,374.94, 283,299.12 and 123,646.30 is: 170,560.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,374.94 : 283,299.12 = 123,646.30 : x
  2. Step 2: Convert to fraction form
    205,374.94/283,299.12 = 123,646.30/x
  3. Step 3: Cross multiply
    205,374.94x = 283,299.12 × 123,646.30
  4. Step 4: Simplify right side
    205,374.94x = 35,028,887,981.26
  5. Step 5: Solve for x
    x = 35,028,887,981.26/205,374.94
  6. Step 6: Final answer
    x = 170,560.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.