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Finding the Fourth Proportional to 103,460.58, 155,191.95 and 82,815.30

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Solution

The fourth proportional to 103,460.58, 155,191.95 and 82,815.30 is: 124,223.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,460.58 : 155,191.95 = 82,815.30 : x
  2. Step 2: Convert to fraction form
    103,460.58/155,191.95 = 82,815.30/x
  3. Step 3: Cross multiply
    103,460.58x = 155,191.95 × 82,815.30
  4. Step 4: Simplify right side
    103,460.58x = 12,852,267,896.84
  5. Step 5: Solve for x
    x = 12,852,267,896.84/103,460.58
  6. Step 6: Final answer
    x = 124,223.81

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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.