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Finding the Fourth Proportional to 137,447.40, 189,768.84 and 105,559.32

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Solution

The fourth proportional to 137,447.40, 189,768.84 and 105,559.32 is: 145,742.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,447.40 : 189,768.84 = 105,559.32 : x
  2. Step 2: Convert to fraction form
    137,447.40/189,768.84 = 105,559.32/x
  3. Step 3: Cross multiply
    137,447.40x = 189,768.84 × 105,559.32
  4. Step 4: Simplify right side
    137,447.40x = 20,031,869,707.59
  5. Step 5: Solve for x
    x = 20,031,869,707.59/137,447.40
  6. Step 6: Final answer
    x = 145,742.08

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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.