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Finding the Fourth Proportional to 305,761.30, 458,664.51 and 81,116.76

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Solution

The fourth proportional to 305,761.30, 458,664.51 and 81,116.76 is: 121,681.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,761.30 : 458,664.51 = 81,116.76 : x
  2. Step 2: Convert to fraction form
    305,761.30/458,664.51 = 81,116.76/x
  3. Step 3: Cross multiply
    305,761.30x = 458,664.51 × 81,116.76
  4. Step 4: Simplify right side
    305,761.30x = 37,205,379,922.06
  5. Step 5: Solve for x
    x = 37,205,379,922.06/305,761.30
  6. Step 6: Final answer
    x = 121,681.13

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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.