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Finding the Fourth Proportional to 84,029.81, 115,974.59 and 53,813.57

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Solution

The fourth proportional to 84,029.81, 115,974.59 and 53,813.57 is: 74,271.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,029.81 : 115,974.59 = 53,813.57 : x
  2. Step 2: Convert to fraction form
    84,029.81/115,974.59 = 53,813.57/x
  3. Step 3: Cross multiply
    84,029.81x = 115,974.59 × 53,813.57
  4. Step 4: Simplify right side
    84,029.81x = 6,241,005,868.25
  5. Step 5: Solve for x
    x = 6,241,005,868.25/84,029.81
  6. Step 6: Final answer
    x = 74,271.34

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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.