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Finding the Fourth Proportional to 152,082.82, 209,855.94 and 84,090.64

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Solution

The fourth proportional to 152,082.82, 209,855.94 and 84,090.64 is: 116,034.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,082.82 : 209,855.94 = 84,090.64 : x
  2. Step 2: Convert to fraction form
    152,082.82/209,855.94 = 84,090.64/x
  3. Step 3: Cross multiply
    152,082.82x = 209,855.94 × 84,090.64
  4. Step 4: Simplify right side
    152,082.82x = 17,646,920,302.40
  5. Step 5: Solve for x
    x = 17,646,920,302.40/152,082.82
  6. Step 6: Final answer
    x = 116,034.94

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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.