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Finding the Fourth Proportional to 137,322.90, 189,407.70 and 126,028.98

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Solution

The fourth proportional to 137,322.90, 189,407.70 and 126,028.98 is: 173,830.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,322.90 : 189,407.70 = 126,028.98 : x
  2. Step 2: Convert to fraction form
    137,322.90/189,407.70 = 126,028.98/x
  3. Step 3: Cross multiply
    137,322.90x = 189,407.70 × 126,028.98
  4. Step 4: Simplify right side
    137,322.90x = 23,870,859,235.15
  5. Step 5: Solve for x
    x = 23,870,859,235.15/137,322.90
  6. Step 6: Final answer
    x = 173,830.14

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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.