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Finding the Fourth Proportional to 57,141.94, 85,712 and 15,588.94

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Solution

The fourth proportional to 57,141.94, 85,712 and 15,588.94 is: 23,383.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,141.94 : 85,712 = 15,588.94 : x
  2. Step 2: Convert to fraction form
    57,141.94/85,712 = 15,588.94/x
  3. Step 3: Cross multiply
    57,141.94x = 85,712 × 15,588.94
  4. Step 4: Simplify right side
    57,141.94x = 1,336,159,225.28
  5. Step 5: Solve for x
    x = 1,336,159,225.28/57,141.94
  6. Step 6: Final answer
    x = 23,383.16

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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.