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Finding the Fourth Proportional to 76,409.80, 105,512.76 and 47,778.52

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Solution

The fourth proportional to 76,409.80, 105,512.76 and 47,778.52 is: 65,976.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,409.80 : 105,512.76 = 47,778.52 : x
  2. Step 2: Convert to fraction form
    76,409.80/105,512.76 = 47,778.52/x
  3. Step 3: Cross multiply
    76,409.80x = 105,512.76 × 47,778.52
  4. Step 4: Simplify right side
    76,409.80x = 5,041,243,513.92
  5. Step 5: Solve for x
    x = 5,041,243,513.92/76,409.80
  6. Step 6: Final answer
    x = 65,976.40

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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.