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Finding the Fourth Proportional to 87,010.50, 130,515.76 and 21,346.50

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Solution

The fourth proportional to 87,010.50, 130,515.76 and 21,346.50 is: 32,019.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,010.50 : 130,515.76 = 21,346.50 : x
  2. Step 2: Convert to fraction form
    87,010.50/130,515.76 = 21,346.50/x
  3. Step 3: Cross multiply
    87,010.50x = 130,515.76 × 21,346.50
  4. Step 4: Simplify right side
    87,010.50x = 2,786,054,670.84
  5. Step 5: Solve for x
    x = 2,786,054,670.84/87,010.50
  6. Step 6: Final answer
    x = 32,019.75

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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.