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Finding the Fourth Proportional to 103,640.15, 155,201.02 and 82,904.15

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Solution

The fourth proportional to 103,640.15, 155,201.02 and 82,904.15 is: 124,148.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,640.15 : 155,201.02 = 82,904.15 : x
  2. Step 2: Convert to fraction form
    103,640.15/155,201.02 = 82,904.15/x
  3. Step 3: Cross multiply
    103,640.15x = 155,201.02 × 82,904.15
  4. Step 4: Simplify right side
    103,640.15x = 12,866,808,642.23
  5. Step 5: Solve for x
    x = 12,866,808,642.23/103,640.15
  6. Step 6: Final answer
    x = 124,148.88

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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.