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Finding the Fourth Proportional to 86,683, 130,024.50 and 21,019

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Solution

The fourth proportional to 86,683, 130,024.50 and 21,019 is: 31,528.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,683 : 130,024.50 = 21,019 : x
  2. Step 2: Convert to fraction form
    86,683/130,024.50 = 21,019/x
  3. Step 3: Cross multiply
    86,683x = 130,024.50 × 21,019
  4. Step 4: Simplify right side
    86,683x = 2,732,984,965.50
  5. Step 5: Solve for x
    x = 2,732,984,965.50/86,683
  6. Step 6: Final answer
    x = 31,528.50

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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.