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Finding the Fourth Proportional to 35,871.60, 53,742.60 and 30,687.60

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Solution

The fourth proportional to 35,871.60, 53,742.60 and 30,687.60 is: 45,975.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,871.60 : 53,742.60 = 30,687.60 : x
  2. Step 2: Convert to fraction form
    35,871.60/53,742.60 = 30,687.60/x
  3. Step 3: Cross multiply
    35,871.60x = 53,742.60 × 30,687.60
  4. Step 4: Simplify right side
    35,871.60x = 1,649,231,411.76
  5. Step 5: Solve for x
    x = 1,649,231,411.76/35,871.60
  6. Step 6: Final answer
    x = 45,975.96

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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.