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Finding the Fourth Proportional to 72,733, 100,372.76 and 47,582.50

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Solution

The fourth proportional to 72,733, 100,372.76 and 47,582.50 is: 65,664.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,733 : 100,372.76 = 47,582.50 : x
  2. Step 2: Convert to fraction form
    72,733/100,372.76 = 47,582.50/x
  3. Step 3: Cross multiply
    72,733x = 100,372.76 × 47,582.50
  4. Step 4: Simplify right side
    72,733x = 4,775,986,852.70
  5. Step 5: Solve for x
    x = 4,775,986,852.70/72,733
  6. Step 6: Final answer
    x = 65,664.65

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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.