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Finding the Fourth Proportional to 86,146.47, 128,943.07 and 46,065.14

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Solution

The fourth proportional to 86,146.47, 128,943.07 and 46,065.14 is: 68,949.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,146.47 : 128,943.07 = 46,065.14 : x
  2. Step 2: Convert to fraction form
    86,146.47/128,943.07 = 46,065.14/x
  3. Step 3: Cross multiply
    86,146.47x = 128,943.07 × 46,065.14
  4. Step 4: Simplify right side
    86,146.47x = 5,939,780,571.58
  5. Step 5: Solve for x
    x = 5,939,780,571.58/86,146.47
  6. Step 6: Final answer
    x = 68,949.78

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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.