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Finding the Fourth Proportional to 97,976, 135,207.84 and 53,264.96

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Solution

The fourth proportional to 97,976, 135,207.84 and 53,264.96 is: 73,506.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,976 : 135,207.84 = 53,264.96 : x
  2. Step 2: Convert to fraction form
    97,976/135,207.84 = 53,264.96/x
  3. Step 3: Cross multiply
    97,976x = 135,207.84 × 53,264.96
  4. Step 4: Simplify right side
    97,976x = 7,201,840,189.29
  5. Step 5: Solve for x
    x = 7,201,840,189.29/97,976
  6. Step 6: Final answer
    x = 73,506.17

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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.