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Finding the Fourth Proportional to 221,666.54, 305,899.34 and 121,064.54

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Solution

The fourth proportional to 221,666.54, 305,899.34 and 121,064.54 is: 167,068.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,666.54 : 305,899.34 = 121,064.54 : x
  2. Step 2: Convert to fraction form
    221,666.54/305,899.34 = 121,064.54/x
  3. Step 3: Cross multiply
    221,666.54x = 305,899.34 × 121,064.54
  4. Step 4: Simplify right side
    221,666.54x = 37,033,562,883.40
  5. Step 5: Solve for x
    x = 37,033,562,883.40/221,666.54
  6. Step 6: Final answer
    x = 167,068.80

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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.