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Finding the Fourth Proportional to 72,987.12, 100,741.20 and 47,563.20

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Solution

The fourth proportional to 72,987.12, 100,741.20 and 47,563.20 is: 65,649.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,987.12 : 100,741.20 = 47,563.20 : x
  2. Step 2: Convert to fraction form
    72,987.12/100,741.20 = 47,563.20/x
  3. Step 3: Cross multiply
    72,987.12x = 100,741.20 × 47,563.20
  4. Step 4: Simplify right side
    72,987.12x = 4,791,573,843.84
  5. Step 5: Solve for x
    x = 4,791,573,843.84/72,987.12
  6. Step 6: Final answer
    x = 65,649.58

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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.