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Finding the Fourth Proportional to 137,561.68, 189,800.58 and 80,962.12

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Solution

The fourth proportional to 137,561.68, 189,800.58 and 80,962.12 is: 111,707.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,561.68 : 189,800.58 = 80,962.12 : x
  2. Step 2: Convert to fraction form
    137,561.68/189,800.58 = 80,962.12/x
  3. Step 3: Cross multiply
    137,561.68x = 189,800.58 × 80,962.12
  4. Step 4: Simplify right side
    137,561.68x = 15,366,657,334.03
  5. Step 5: Solve for x
    x = 15,366,657,334.03/137,561.68
  6. Step 6: Final answer
    x = 111,707.40

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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.