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Finding the Fourth Proportional to 136,970.64, 189,019.47 and 83,245.62

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Solution

The fourth proportional to 136,970.64, 189,019.47 and 83,245.62 is: 114,878.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,970.64 : 189,019.47 = 83,245.62 : x
  2. Step 2: Convert to fraction form
    136,970.64/189,019.47 = 83,245.62/x
  3. Step 3: Cross multiply
    136,970.64x = 189,019.47 × 83,245.62
  4. Step 4: Simplify right side
    136,970.64x = 15,735,042,972.22
  5. Step 5: Solve for x
    x = 15,735,042,972.22/136,970.64
  6. Step 6: Final answer
    x = 114,878.95

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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.