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Finding the Fourth Proportional to 137,513.54, 189,768.44 and 77,084.22

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Solution

The fourth proportional to 137,513.54, 189,768.44 and 77,084.22 is: 106,376.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,513.54 : 189,768.44 = 77,084.22 : x
  2. Step 2: Convert to fraction form
    137,513.54/189,768.44 = 77,084.22/x
  3. Step 3: Cross multiply
    137,513.54x = 189,768.44 × 77,084.22
  4. Step 4: Simplify right side
    137,513.54x = 14,628,151,792.60
  5. Step 5: Solve for x
    x = 14,628,151,792.60/137,513.54
  6. Step 6: Final answer
    x = 106,376.09

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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.