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Finding the Fourth Proportional to 86,667, 130,000.50 and 21,003

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Solution

The fourth proportional to 86,667, 130,000.50 and 21,003 is: 31,504.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,667 : 130,000.50 = 21,003 : x
  2. Step 2: Convert to fraction form
    86,667/130,000.50 = 21,003/x
  3. Step 3: Cross multiply
    86,667x = 130,000.50 × 21,003
  4. Step 4: Simplify right side
    86,667x = 2,730,400,501.50
  5. Step 5: Solve for x
    x = 2,730,400,501.50/86,667
  6. Step 6: Final answer
    x = 31,504.50

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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.