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Finding the Fourth Proportional to 105,409.52, 145,466.29 and 57,662.87

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Solution

The fourth proportional to 105,409.52, 145,466.29 and 57,662.87 is: 79,575.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,409.52 : 145,466.29 = 57,662.87 : x
  2. Step 2: Convert to fraction form
    105,409.52/145,466.29 = 57,662.87/x
  3. Step 3: Cross multiply
    105,409.52x = 145,466.29 × 57,662.87
  4. Step 4: Simplify right side
    105,409.52x = 8,388,003,114.40
  5. Step 5: Solve for x
    x = 8,388,003,114.40/105,409.52
  6. Step 6: Final answer
    x = 79,575.39

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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.