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Finding the Fourth Proportional to 86,738.40, 130,054.80 and 34,084.80

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Solution

The fourth proportional to 86,738.40, 130,054.80 and 34,084.80 is: 51,106.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,738.40 : 130,054.80 = 34,084.80 : x
  2. Step 2: Convert to fraction form
    86,738.40/130,054.80 = 34,084.80/x
  3. Step 3: Cross multiply
    86,738.40x = 130,054.80 × 34,084.80
  4. Step 4: Simplify right side
    86,738.40x = 4,432,891,847.04
  5. Step 5: Solve for x
    x = 4,432,891,847.04/86,738.40
  6. Step 6: Final answer
    x = 51,106.45

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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.