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Finding the Fourth Proportional to 137,119.53, 189,224.42 and 76,689.93

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Solution

The fourth proportional to 137,119.53, 189,224.42 and 76,689.93 is: 105,831.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,119.53 : 189,224.42 = 76,689.93 : x
  2. Step 2: Convert to fraction form
    137,119.53/189,224.42 = 76,689.93/x
  3. Step 3: Cross multiply
    137,119.53x = 189,224.42 × 76,689.93
  4. Step 4: Simplify right side
    137,119.53x = 14,511,607,140.64
  5. Step 5: Solve for x
    x = 14,511,607,140.64/137,119.53
  6. Step 6: Final answer
    x = 105,831.80

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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.