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Finding the Fourth Proportional to 82,143.55, 113,382.33 and 48,159.41

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Solution

The fourth proportional to 82,143.55, 113,382.33 and 48,159.41 is: 66,474.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,143.55 : 113,382.33 = 48,159.41 : x
  2. Step 2: Convert to fraction form
    82,143.55/113,382.33 = 48,159.41/x
  3. Step 3: Cross multiply
    82,143.55x = 113,382.33 × 48,159.41
  4. Step 4: Simplify right side
    82,143.55x = 5,460,426,117.23
  5. Step 5: Solve for x
    x = 5,460,426,117.23/82,143.55
  6. Step 6: Final answer
    x = 66,474.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.