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Finding the Fourth Proportional to 149,278.94, 205,995.58 and 82,210.94

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Solution

The fourth proportional to 149,278.94, 205,995.58 and 82,210.94 is: 113,445.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,278.94 : 205,995.58 = 82,210.94 : x
  2. Step 2: Convert to fraction form
    149,278.94/205,995.58 = 82,210.94/x
  3. Step 3: Cross multiply
    149,278.94x = 205,995.58 × 82,210.94
  4. Step 4: Simplify right side
    149,278.94x = 16,935,090,267.65
  5. Step 5: Solve for x
    x = 16,935,090,267.65/149,278.94
  6. Step 6: Final answer
    x = 113,445.94

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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.