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Finding the Fourth Proportional to 105,563.34, 145,677.87 and 57,165.90

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Solution

The fourth proportional to 105,563.34, 145,677.87 and 57,165.90 is: 78,889.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,563.34 : 145,677.87 = 57,165.90 : x
  2. Step 2: Convert to fraction form
    105,563.34/145,677.87 = 57,165.90/x
  3. Step 3: Cross multiply
    105,563.34x = 145,677.87 × 57,165.90
  4. Step 4: Simplify right side
    105,563.34x = 8,327,806,548.63
  5. Step 5: Solve for x
    x = 8,327,806,548.63/105,563.34
  6. Step 6: Final answer
    x = 78,889.19

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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.