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Finding the Fourth Proportional to 76,284, 105,271.92 and 42,760.80

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Solution

The fourth proportional to 76,284, 105,271.92 and 42,760.80 is: 59,009.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,284 : 105,271.92 = 42,760.80 : x
  2. Step 2: Convert to fraction form
    76,284/105,271.92 = 42,760.80/x
  3. Step 3: Cross multiply
    76,284x = 105,271.92 × 42,760.80
  4. Step 4: Simplify right side
    76,284x = 4,501,511,516.74
  5. Step 5: Solve for x
    x = 4,501,511,516.74/76,284
  6. Step 6: Final answer
    x = 59,009.90

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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.