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Finding the Fourth Proportional to 97,945, 135,164.10 and 58,201

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Solution

The fourth proportional to 97,945, 135,164.10 and 58,201 is: 80,317.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,945 : 135,164.10 = 58,201 : x
  2. Step 2: Convert to fraction form
    97,945/135,164.10 = 58,201/x
  3. Step 3: Cross multiply
    97,945x = 135,164.10 × 58,201
  4. Step 4: Simplify right side
    97,945x = 7,866,685,784.10
  5. Step 5: Solve for x
    x = 7,866,685,784.10/97,945
  6. Step 6: Final answer
    x = 80,317.38

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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.