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Finding the Fourth Proportional to 72,725.50, 100,362.41 and 47,575

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Solution

The fourth proportional to 72,725.50, 100,362.41 and 47,575 is: 65,654.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,725.50 : 100,362.41 = 47,575 : x
  2. Step 2: Convert to fraction form
    72,725.50/100,362.41 = 47,575/x
  3. Step 3: Cross multiply
    72,725.50x = 100,362.41 × 47,575
  4. Step 4: Simplify right side
    72,725.50x = 4,774,741,655.75
  5. Step 5: Solve for x
    x = 4,774,741,655.75/72,725.50
  6. Step 6: Final answer
    x = 65,654.30

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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.