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Finding the Fourth Proportional to 84,506.16, 116,512.65 and 54,238.08

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Solution

The fourth proportional to 84,506.16, 116,512.65 and 54,238.08 is: 74,780.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,506.16 : 116,512.65 = 54,238.08 : x
  2. Step 2: Convert to fraction form
    84,506.16/116,512.65 = 54,238.08/x
  3. Step 3: Cross multiply
    84,506.16x = 116,512.65 × 54,238.08
  4. Step 4: Simplify right side
    84,506.16x = 6,319,422,431.71
  5. Step 5: Solve for x
    x = 6,319,422,431.71/84,506.16
  6. Step 6: Final answer
    x = 74,780.61

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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.