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Finding the Fourth Proportional to 97,981, 135,214.74 and 53,269.96

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Solution

The fourth proportional to 97,981, 135,214.74 and 53,269.96 is: 73,513.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,981 : 135,214.74 = 53,269.96 : x
  2. Step 2: Convert to fraction form
    97,981/135,214.74 = 53,269.96/x
  3. Step 3: Cross multiply
    97,981x = 135,214.74 × 53,269.96
  4. Step 4: Simplify right side
    97,981x = 7,202,883,791.21
  5. Step 5: Solve for x
    x = 7,202,883,791.21/97,981
  6. Step 6: Final answer
    x = 73,513.07

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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.