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Finding the Fourth Proportional to 137,157.60, 189,269.87 and 76,716.57

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Solution

The fourth proportional to 137,157.60, 189,269.87 and 76,716.57 is: 105,864.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,157.60 : 189,269.87 = 76,716.57 : x
  2. Step 2: Convert to fraction form
    137,157.60/189,269.87 = 76,716.57/x
  3. Step 3: Cross multiply
    137,157.60x = 189,269.87 × 76,716.57
  4. Step 4: Simplify right side
    137,157.60x = 14,520,134,492.28
  5. Step 5: Solve for x
    x = 14,520,134,492.28/137,157.60
  6. Step 6: Final answer
    x = 105,864.60

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1.5x scale

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.