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Finding the Fourth Proportional to 105,490.83, 145,577.37 and 57,745.20

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Solution

The fourth proportional to 105,490.83, 145,577.37 and 57,745.20 is: 79,688.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,490.83 : 145,577.37 = 57,745.20 : x
  2. Step 2: Convert to fraction form
    105,490.83/145,577.37 = 57,745.20/x
  3. Step 3: Cross multiply
    105,490.83x = 145,577.37 × 57,745.20
  4. Step 4: Simplify right side
    105,490.83x = 8,406,394,346.12
  5. Step 5: Solve for x
    x = 8,406,394,346.12/105,490.83
  6. Step 6: Final answer
    x = 79,688.39

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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.