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Finding the Fourth Proportional to 83,114.60, 114,699.06 and 45,389.96

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Solution

The fourth proportional to 83,114.60, 114,699.06 and 45,389.96 is: 62,638.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,114.60 : 114,699.06 = 45,389.96 : x
  2. Step 2: Convert to fraction form
    83,114.60/114,699.06 = 45,389.96/x
  3. Step 3: Cross multiply
    83,114.60x = 114,699.06 × 45,389.96
  4. Step 4: Simplify right side
    83,114.60x = 5,206,185,745.44
  5. Step 5: Solve for x
    x = 5,206,185,745.44/83,114.60
  6. Step 6: Final answer
    x = 62,638.64

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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.