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Finding the Fourth Proportional to 102,906.29, 154,394.40 and 55,525.88

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Solution

The fourth proportional to 102,906.29, 154,394.40 and 55,525.88 is: 83,307.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,906.29 : 154,394.40 = 55,525.88 : x
  2. Step 2: Convert to fraction form
    102,906.29/154,394.40 = 55,525.88/x
  3. Step 3: Cross multiply
    102,906.29x = 154,394.40 × 55,525.88
  4. Step 4: Simplify right side
    102,906.29x = 8,572,884,927.07
  5. Step 5: Solve for x
    x = 8,572,884,927.07/102,906.29
  6. Step 6: Final answer
    x = 83,307.69

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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.