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Finding the Fourth Proportional to 105,028.66, 144,943.05 and 57,284.65

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Solution

The fourth proportional to 105,028.66, 144,943.05 and 57,284.65 is: 79,054.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,028.66 : 144,943.05 = 57,284.65 : x
  2. Step 2: Convert to fraction form
    105,028.66/144,943.05 = 57,284.65/x
  3. Step 3: Cross multiply
    105,028.66x = 144,943.05 × 57,284.65
  4. Step 4: Simplify right side
    105,028.66x = 8,303,011,889.18
  5. Step 5: Solve for x
    x = 8,303,011,889.18/105,028.66
  6. Step 6: Final answer
    x = 79,054.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.