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Finding the Fourth Proportional to 137,062.89, 189,145.53 and 75,809.07

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Solution

The fourth proportional to 137,062.89, 189,145.53 and 75,809.07 is: 104,615.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,062.89 : 189,145.53 = 75,809.07 : x
  2. Step 2: Convert to fraction form
    137,062.89/189,145.53 = 75,809.07/x
  3. Step 3: Cross multiply
    137,062.89x = 189,145.53 × 75,809.07
  4. Step 4: Simplify right side
    137,062.89x = 14,338,946,723.96
  5. Step 5: Solve for x
    x = 14,338,946,723.96/137,062.89
  6. Step 6: Final answer
    x = 104,615.82

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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.