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Finding the Fourth Proportional to 57,870.09, 86,804.51 and 43,915.84

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Solution

The fourth proportional to 57,870.09, 86,804.51 and 43,915.84 is: 65,873.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,870.09 : 86,804.51 = 43,915.84 : x
  2. Step 2: Convert to fraction form
    57,870.09/86,804.51 = 43,915.84/x
  3. Step 3: Cross multiply
    57,870.09x = 86,804.51 × 43,915.84
  4. Step 4: Simplify right side
    57,870.09x = 3,812,092,972.44
  5. Step 5: Solve for x
    x = 3,812,092,972.44/57,870.09
  6. Step 6: Final answer
    x = 65,873.29

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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.