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Finding the Fourth Proportional to 101,378.32, 152,093.40 and 42,194.32

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Solution

The fourth proportional to 101,378.32, 152,093.40 and 42,194.32 is: 63,302.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,378.32 : 152,093.40 = 42,194.32 : x
  2. Step 2: Convert to fraction form
    101,378.32/152,093.40 = 42,194.32/x
  3. Step 3: Cross multiply
    101,378.32x = 152,093.40 × 42,194.32
  4. Step 4: Simplify right side
    101,378.32x = 6,417,477,589.49
  5. Step 5: Solve for x
    x = 6,417,477,589.49/101,378.32
  6. Step 6: Final answer
    x = 63,302.27

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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.