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Finding the Fourth Proportional to 76,324.80, 105,259.27 and 47,647.12

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Solution

The fourth proportional to 76,324.80, 105,259.27 and 47,647.12 is: 65,709.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,324.80 : 105,259.27 = 47,647.12 : x
  2. Step 2: Convert to fraction form
    76,324.80/105,259.27 = 47,647.12/x
  3. Step 3: Cross multiply
    76,324.80x = 105,259.27 × 47,647.12
  4. Step 4: Simplify right side
    76,324.80x = 5,015,300,567.42
  5. Step 5: Solve for x
    x = 5,015,300,567.42/76,324.80
  6. Step 6: Final answer
    x = 65,709.98

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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.