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Finding the Fourth Proportional to 57,784.40, 86,528.62 and 39,990.43

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Solution

The fourth proportional to 57,784.40, 86,528.62 and 39,990.43 is: 59,883.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,784.40 : 86,528.62 = 39,990.43 : x
  2. Step 2: Convert to fraction form
    57,784.40/86,528.62 = 39,990.43/x
  3. Step 3: Cross multiply
    57,784.40x = 86,528.62 × 39,990.43
  4. Step 4: Simplify right side
    57,784.40x = 3,460,316,392.53
  5. Step 5: Solve for x
    x = 3,460,316,392.53/57,784.40
  6. Step 6: Final answer
    x = 59,883.22

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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.