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Finding the Fourth Proportional to 136,990.76, 189,043.48 and 76,561.64

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Solution

The fourth proportional to 136,990.76, 189,043.48 and 76,561.64 is: 105,652.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,990.76 : 189,043.48 = 76,561.64 : x
  2. Step 2: Convert to fraction form
    136,990.76/189,043.48 = 76,561.64/x
  3. Step 3: Cross multiply
    136,990.76x = 189,043.48 × 76,561.64
  4. Step 4: Simplify right side
    136,990.76x = 14,473,478,860.11
  5. Step 5: Solve for x
    x = 14,473,478,860.11/136,990.76
  6. Step 6: Final answer
    x = 105,652.96

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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.