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Finding the Fourth Proportional to 149,628, 206,490.98 and 82,564.32

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Solution

The fourth proportional to 149,628, 206,490.98 and 82,564.32 is: 113,941.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,628 : 206,490.98 = 82,564.32 : x
  2. Step 2: Convert to fraction form
    149,628/206,490.98 = 82,564.32/x
  3. Step 3: Cross multiply
    149,628x = 206,490.98 × 82,564.32
  4. Step 4: Simplify right side
    149,628x = 17,048,787,349.83
  5. Step 5: Solve for x
    x = 17,048,787,349.83/149,628
  6. Step 6: Final answer
    x = 113,941.16

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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.