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Finding the Fourth Proportional to 282,012, 423,029.52 and 71,655.36

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Solution

The fourth proportional to 282,012, 423,029.52 and 71,655.36 is: 107,485.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,012 : 423,029.52 = 71,655.36 : x
  2. Step 2: Convert to fraction form
    282,012/423,029.52 = 71,655.36/x
  3. Step 3: Cross multiply
    282,012x = 423,029.52 × 71,655.36
  4. Step 4: Simplify right side
    282,012x = 30,312,332,546.23
  5. Step 5: Solve for x
    x = 30,312,332,546.23/282,012
  6. Step 6: Final answer
    x = 107,485.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.