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Finding the Fourth Proportional to 72,676.80, 109,084.80 and 37,641.60

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Solution

The fourth proportional to 72,676.80, 109,084.80 and 37,641.60 is: 56,498.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,676.80 : 109,084.80 = 37,641.60 : x
  2. Step 2: Convert to fraction form
    72,676.80/109,084.80 = 37,641.60/x
  3. Step 3: Cross multiply
    72,676.80x = 109,084.80 × 37,641.60
  4. Step 4: Simplify right side
    72,676.80x = 4,106,126,407.68
  5. Step 5: Solve for x
    x = 4,106,126,407.68/72,676.80
  6. Step 6: Final answer
    x = 56,498.45

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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.