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Finding the Fourth Proportional to 102,920.36, 154,399.98 and 35,434.40

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Solution

The fourth proportional to 102,920.36, 154,399.98 and 35,434.40 is: 53,158.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,920.36 : 154,399.98 = 35,434.40 : x
  2. Step 2: Convert to fraction form
    102,920.36/154,399.98 = 35,434.40/x
  3. Step 3: Cross multiply
    102,920.36x = 154,399.98 × 35,434.40
  4. Step 4: Simplify right side
    102,920.36x = 5,471,070,651.31
  5. Step 5: Solve for x
    x = 5,471,070,651.31/102,920.36
  6. Step 6: Final answer
    x = 53,158.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.