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Finding the Fourth Proportional to 188,312.40, 282,473.28 and 55,178.64

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Solution

The fourth proportional to 188,312.40, 282,473.28 and 55,178.64 is: 82,769.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,312.40 : 282,473.28 = 55,178.64 : x
  2. Step 2: Convert to fraction form
    188,312.40/282,473.28 = 55,178.64/x
  3. Step 3: Cross multiply
    188,312.40x = 282,473.28 × 55,178.64
  4. Step 4: Simplify right side
    188,312.40x = 15,586,491,426.74
  5. Step 5: Solve for x
    x = 15,586,491,426.74/188,312.40
  6. Step 6: Final answer
    x = 82,769.33

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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.