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Finding the Fourth Proportional to 210,069, 315,103.50 and 54,421

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Solution

The fourth proportional to 210,069, 315,103.50 and 54,421 is: 81,631.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,069 : 315,103.50 = 54,421 : x
  2. Step 2: Convert to fraction form
    210,069/315,103.50 = 54,421/x
  3. Step 3: Cross multiply
    210,069x = 315,103.50 × 54,421
  4. Step 4: Simplify right side
    210,069x = 17,148,247,573.50
  5. Step 5: Solve for x
    x = 17,148,247,573.50/210,069
  6. Step 6: Final answer
    x = 81,631.50

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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.