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Finding the Fourth Proportional to 58,181, 87,271.50 and 21,245

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Solution

The fourth proportional to 58,181, 87,271.50 and 21,245 is: 31,867.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,181 : 87,271.50 = 21,245 : x
  2. Step 2: Convert to fraction form
    58,181/87,271.50 = 21,245/x
  3. Step 3: Cross multiply
    58,181x = 87,271.50 × 21,245
  4. Step 4: Simplify right side
    58,181x = 1,854,083,017.50
  5. Step 5: Solve for x
    x = 1,854,083,017.50/58,181
  6. Step 6: Final answer
    x = 31,867.50

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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.