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Finding the Fourth Proportional to 137,444.40, 189,764.64 and 105,556.32

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Solution

The fourth proportional to 137,444.40, 189,764.64 and 105,556.32 is: 145,737.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,444.40 : 189,764.64 = 105,556.32 : x
  2. Step 2: Convert to fraction form
    137,444.40/189,764.64 = 105,556.32/x
  3. Step 3: Cross multiply
    137,444.40x = 189,764.64 × 105,556.32
  4. Step 4: Simplify right side
    137,444.40x = 20,030,857,064.52
  5. Step 5: Solve for x
    x = 20,030,857,064.52/137,444.40
  6. Step 6: Final answer
    x = 145,737.89

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1.5x scale

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.