Finding the Fourth Proportional to 137,257.19, 189,423.33 and 76,831.60
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Solution
The fourth proportional to 137,257.19, 189,423.33 and 76,831.60 is: 106,032.31
Step by Step Solution
- Step 1: Write the proportion equation
137,257.19 : 189,423.33 = 76,831.60 : x - Step 2: Convert to fraction form
137,257.19/189,423.33 = 76,831.60/x - Step 3: Cross multiply
137,257.19x = 189,423.33 × 76,831.60 - Step 4: Simplify right side
137,257.19x = 14,553,697,521.23 - Step 5: Solve for x
x = 14,553,697,521.23/137,257.19 - Step 6: Final answer
x = 106,032.31
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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.