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Finding the Fourth Proportional to 105,309.66, 145,327.40 and 57,563

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Solution

The fourth proportional to 105,309.66, 145,327.40 and 57,563 is: 79,436.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,309.66 : 145,327.40 = 57,563 : x
  2. Step 2: Convert to fraction form
    105,309.66/145,327.40 = 57,563/x
  3. Step 3: Cross multiply
    105,309.66x = 145,327.40 × 57,563
  4. Step 4: Simplify right side
    105,309.66x = 8,365,481,126.20
  5. Step 5: Solve for x
    x = 8,365,481,126.20/105,309.66
  6. Step 6: Final answer
    x = 79,436.98

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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.