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Finding the Fourth Proportional to 75,427.40, 113,141.10 and 31,039.40

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Solution

The fourth proportional to 75,427.40, 113,141.10 and 31,039.40 is: 46,559.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,427.40 : 113,141.10 = 31,039.40 : x
  2. Step 2: Convert to fraction form
    75,427.40/113,141.10 = 31,039.40/x
  3. Step 3: Cross multiply
    75,427.40x = 113,141.10 × 31,039.40
  4. Step 4: Simplify right side
    75,427.40x = 3,511,831,859.34
  5. Step 5: Solve for x
    x = 3,511,831,859.34/75,427.40
  6. Step 6: Final answer
    x = 46,559.10

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1.5x scale

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.