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Finding the Fourth Proportional to 86,770, 130,155.18 and 21,106

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Solution

The fourth proportional to 86,770, 130,155.18 and 21,106 is: 31,659.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,770 : 130,155.18 = 21,106 : x
  2. Step 2: Convert to fraction form
    86,770/130,155.18 = 21,106/x
  3. Step 3: Cross multiply
    86,770x = 130,155.18 × 21,106
  4. Step 4: Simplify right side
    86,770x = 2,747,055,229.08
  5. Step 5: Solve for x
    x = 2,747,055,229.08/86,770
  6. Step 6: Final answer
    x = 31,659.04

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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.