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Finding the Fourth Proportional to 66,111.84, 91,171.44 and 43,470

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Solution

The fourth proportional to 66,111.84, 91,171.44 and 43,470 is: 59,947.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,111.84 : 91,171.44 = 43,470 : x
  2. Step 2: Convert to fraction form
    66,111.84/91,171.44 = 43,470/x
  3. Step 3: Cross multiply
    66,111.84x = 91,171.44 × 43,470
  4. Step 4: Simplify right side
    66,111.84x = 3,963,222,496.80
  5. Step 5: Solve for x
    x = 3,963,222,496.80/66,111.84
  6. Step 6: Final answer
    x = 59,947.24

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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.