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Finding the Fourth Proportional to 40,507.57, 60,742.51 and 12,420.41

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Solution

The fourth proportional to 40,507.57, 60,742.51 and 12,420.41 is: 18,624.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,507.57 : 60,742.51 = 12,420.41 : x
  2. Step 2: Convert to fraction form
    40,507.57/60,742.51 = 12,420.41/x
  3. Step 3: Cross multiply
    40,507.57x = 60,742.51 × 12,420.41
  4. Step 4: Simplify right side
    40,507.57x = 754,446,878.63
  5. Step 5: Solve for x
    x = 754,446,878.63/40,507.57
  6. Step 6: Final answer
    x = 18,624.84

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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.