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Finding the Fourth Proportional to 84,455.30, 116,530.02 and 53,840

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Solution

The fourth proportional to 84,455.30, 116,530.02 and 53,840 is: 74,287.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,455.30 : 116,530.02 = 53,840 : x
  2. Step 2: Convert to fraction form
    84,455.30/116,530.02 = 53,840/x
  3. Step 3: Cross multiply
    84,455.30x = 116,530.02 × 53,840
  4. Step 4: Simplify right side
    84,455.30x = 6,273,976,276.80
  5. Step 5: Solve for x
    x = 6,273,976,276.80/84,455.30
  6. Step 6: Final answer
    x = 74,287.54

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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.