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Finding the Fourth Proportional to 86,674, 130,011 and 21,010

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Solution

The fourth proportional to 86,674, 130,011 and 21,010 is: 31,515

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,674 : 130,011 = 21,010 : x
  2. Step 2: Convert to fraction form
    86,674/130,011 = 21,010/x
  3. Step 3: Cross multiply
    86,674x = 130,011 × 21,010
  4. Step 4: Simplify right side
    86,674x = 2,731,531,110
  5. Step 5: Solve for x
    x = 2,731,531,110/86,674
  6. Step 6: Final answer
    x = 31,515

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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.