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Finding the Fourth Proportional to 76,210.34, 105,221.60 and 47,573.60

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Solution

The fourth proportional to 76,210.34, 105,221.60 and 47,573.60 is: 65,683.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,210.34 : 105,221.60 = 47,573.60 : x
  2. Step 2: Convert to fraction form
    76,210.34/105,221.60 = 47,573.60/x
  3. Step 3: Cross multiply
    76,210.34x = 105,221.60 × 47,573.60
  4. Step 4: Simplify right side
    76,210.34x = 5,005,770,513.35
  5. Step 5: Solve for x
    x = 5,005,770,513.35/76,210.34
  6. Step 6: Final answer
    x = 65,683.61

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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.