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Finding the Fourth Proportional to 84,215.57, 116,237.01 and 55,540.40

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Solution

The fourth proportional to 84,215.57, 116,237.01 and 55,540.40 is: 76,658.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,215.57 : 116,237.01 = 55,540.40 : x
  2. Step 2: Convert to fraction form
    84,215.57/116,237.01 = 55,540.40/x
  3. Step 3: Cross multiply
    84,215.57x = 116,237.01 × 55,540.40
  4. Step 4: Simplify right side
    84,215.57x = 6,455,849,449.02
  5. Step 5: Solve for x
    x = 6,455,849,449.02/84,215.57
  6. Step 6: Final answer
    x = 76,658.63

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1.5x scale

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.