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Finding the Fourth Proportional to 112,106.54, 154,706 and 61,805.54

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Solution

The fourth proportional to 112,106.54, 154,706 and 61,805.54 is: 85,291.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,106.54 : 154,706 = 61,805.54 : x
  2. Step 2: Convert to fraction form
    112,106.54/154,706 = 61,805.54/x
  3. Step 3: Cross multiply
    112,106.54x = 154,706 × 61,805.54
  4. Step 4: Simplify right side
    112,106.54x = 9,561,687,871.24
  5. Step 5: Solve for x
    x = 9,561,687,871.24/112,106.54
  6. Step 6: Final answer
    x = 85,291.08

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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.