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Finding the Fourth Proportional to 65,005.78, 97,512.30 and 18,255

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Solution

The fourth proportional to 65,005.78, 97,512.30 and 18,255 is: 27,383.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,005.78 : 97,512.30 = 18,255 : x
  2. Step 2: Convert to fraction form
    65,005.78/97,512.30 = 18,255/x
  3. Step 3: Cross multiply
    65,005.78x = 97,512.30 × 18,255
  4. Step 4: Simplify right side
    65,005.78x = 1,780,087,036.50
  5. Step 5: Solve for x
    x = 1,780,087,036.50/65,005.78
  6. Step 6: Final answer
    x = 27,383.52

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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.