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Finding the Fourth Proportional to 145,336.56, 200,558 and 84,912.80

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Solution

The fourth proportional to 145,336.56, 200,558 and 84,912.80 is: 117,175.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,336.56 : 200,558 = 84,912.80 : x
  2. Step 2: Convert to fraction form
    145,336.56/200,558 = 84,912.80/x
  3. Step 3: Cross multiply
    145,336.56x = 200,558 × 84,912.80
  4. Step 4: Simplify right side
    145,336.56x = 17,029,941,342.40
  5. Step 5: Solve for x
    x = 17,029,941,342.40/145,336.56
  6. Step 6: Final answer
    x = 117,175.89

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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.