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Finding the Fourth Proportional to 204,706.64, 306,928.08 and 86,346.32

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Solution

The fourth proportional to 204,706.64, 306,928.08 and 86,346.32 is: 129,463.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,706.64 : 306,928.08 = 86,346.32 : x
  2. Step 2: Convert to fraction form
    204,706.64/306,928.08 = 86,346.32/x
  3. Step 3: Cross multiply
    204,706.64x = 306,928.08 × 86,346.32
  4. Step 4: Simplify right side
    204,706.64x = 26,502,110,212.67
  5. Step 5: Solve for x
    x = 26,502,110,212.67/204,706.64
  6. Step 6: Final answer
    x = 129,463.85

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1.5x scale

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.