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Finding the Fourth Proportional to 84,257, 116,308.58 and 57,426.62

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Solution

The fourth proportional to 84,257, 116,308.58 and 57,426.62 is: 79,271.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,257 : 116,308.58 = 57,426.62 : x
  2. Step 2: Convert to fraction form
    84,257/116,308.58 = 57,426.62/x
  3. Step 3: Cross multiply
    84,257x = 116,308.58 × 57,426.62
  4. Step 4: Simplify right side
    84,257x = 6,679,208,626.40
  5. Step 5: Solve for x
    x = 6,679,208,626.40/84,257
  6. Step 6: Final answer
    x = 79,271.85

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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.