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Finding the Fourth Proportional to 105,207.06, 145,183.49 and 57,460.60

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Solution

The fourth proportional to 105,207.06, 145,183.49 and 57,460.60 is: 79,294.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,207.06 : 145,183.49 = 57,460.60 : x
  2. Step 2: Convert to fraction form
    105,207.06/145,183.49 = 57,460.60/x
  3. Step 3: Cross multiply
    105,207.06x = 145,183.49 × 57,460.60
  4. Step 4: Simplify right side
    105,207.06x = 8,342,329,719.58
  5. Step 5: Solve for x
    x = 8,342,329,719.58/105,207.06
  6. Step 6: Final answer
    x = 79,294.39

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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.