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Finding the Fourth Proportional to 85,058.64, 127,583.64 and 25,893

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Solution

The fourth proportional to 85,058.64, 127,583.64 and 25,893 is: 38,838.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,058.64 : 127,583.64 = 25,893 : x
  2. Step 2: Convert to fraction form
    85,058.64/127,583.64 = 25,893/x
  3. Step 3: Cross multiply
    85,058.64x = 127,583.64 × 25,893
  4. Step 4: Simplify right side
    85,058.64x = 3,303,523,190.52
  5. Step 5: Solve for x
    x = 3,303,523,190.52/85,058.64
  6. Step 6: Final answer
    x = 38,838.18

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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.