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Finding the Fourth Proportional to 102,797.66, 154,231.50 and 55,417.33

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Solution

The fourth proportional to 102,797.66, 154,231.50 and 55,417.33 is: 83,144.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,797.66 : 154,231.50 = 55,417.33 : x
  2. Step 2: Convert to fraction form
    102,797.66/154,231.50 = 55,417.33/x
  3. Step 3: Cross multiply
    102,797.66x = 154,231.50 × 55,417.33
  4. Step 4: Simplify right side
    102,797.66x = 8,547,097,559.07
  5. Step 5: Solve for x
    x = 8,547,097,559.07/102,797.66
  6. Step 6: Final answer
    x = 83,144.87

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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.