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Finding the Fourth Proportional to 105,541.62, 145,647.62 and 57,144.03

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Solution

The fourth proportional to 105,541.62, 145,647.62 and 57,144.03 is: 78,858.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,541.62 : 145,647.62 = 57,144.03 : x
  2. Step 2: Convert to fraction form
    105,541.62/145,647.62 = 57,144.03/x
  3. Step 3: Cross multiply
    105,541.62x = 145,647.62 × 57,144.03
  4. Step 4: Simplify right side
    105,541.62x = 8,322,891,966.71
  5. Step 5: Solve for x
    x = 8,322,891,966.71/105,541.62
  6. Step 6: Final answer
    x = 78,858.86

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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.