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Finding the Fourth Proportional to 82,741.60, 114,182.16 and 45,015.52

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Solution

The fourth proportional to 82,741.60, 114,182.16 and 45,015.52 is: 62,120.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,741.60 : 114,182.16 = 45,015.52 : x
  2. Step 2: Convert to fraction form
    82,741.60/114,182.16 = 45,015.52/x
  3. Step 3: Cross multiply
    82,741.60x = 114,182.16 × 45,015.52
  4. Step 4: Simplify right side
    82,741.60x = 5,139,969,307.12
  5. Step 5: Solve for x
    x = 5,139,969,307.12/82,741.60
  6. Step 6: Final answer
    x = 62,120.74

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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.