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Finding the Fourth Proportional to 84,362, 116,421.48 and 54,605.84

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Solution

The fourth proportional to 84,362, 116,421.48 and 54,605.84 is: 75,357.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,362 : 116,421.48 = 54,605.84 : x
  2. Step 2: Convert to fraction form
    84,362/116,421.48 = 54,605.84/x
  3. Step 3: Cross multiply
    84,362x = 116,421.48 × 54,605.84
  4. Step 4: Simplify right side
    84,362x = 6,357,292,709.44
  5. Step 5: Solve for x
    x = 6,357,292,709.44/84,362
  6. Step 6: Final answer
    x = 75,357.30

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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.