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Finding the Fourth Proportional to 82,782.60, 114,240.20 and 46,972.51

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Solution

The fourth proportional to 82,782.60, 114,240.20 and 46,972.51 is: 64,822.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,782.60 : 114,240.20 = 46,972.51 : x
  2. Step 2: Convert to fraction form
    82,782.60/114,240.20 = 46,972.51/x
  3. Step 3: Cross multiply
    82,782.60x = 114,240.20 × 46,972.51
  4. Step 4: Simplify right side
    82,782.60x = 5,366,148,416.44
  5. Step 5: Solve for x
    x = 5,366,148,416.44/82,782.60
  6. Step 6: Final answer
    x = 64,822.18

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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.