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Finding the Fourth Proportional to 137,236.16, 205,690.08 and 70,708.16

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Solution

The fourth proportional to 137,236.16, 205,690.08 and 70,708.16 is: 105,977.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,236.16 : 205,690.08 = 70,708.16 : x
  2. Step 2: Convert to fraction form
    137,236.16/205,690.08 = 70,708.16/x
  3. Step 3: Cross multiply
    137,236.16x = 205,690.08 × 70,708.16
  4. Step 4: Simplify right side
    137,236.16x = 14,543,967,087.05
  5. Step 5: Solve for x
    x = 14,543,967,087.05/137,236.16
  6. Step 6: Final answer
    x = 105,977.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.