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Finding the Fourth Proportional to 85,284.86, 127,927.28 and 47,871.20

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Solution

The fourth proportional to 85,284.86, 127,927.28 and 47,871.20 is: 71,806.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,284.86 : 127,927.28 = 47,871.20 : x
  2. Step 2: Convert to fraction form
    85,284.86/127,927.28 = 47,871.20/x
  3. Step 3: Cross multiply
    85,284.86x = 127,927.28 × 47,871.20
  4. Step 4: Simplify right side
    85,284.86x = 6,124,031,527.34
  5. Step 5: Solve for x
    x = 6,124,031,527.34/85,284.86
  6. Step 6: Final answer
    x = 71,806.79

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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.