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Finding the Fourth Proportional to 103,206, 154,816.29 and 40,876.50

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Solution

The fourth proportional to 103,206, 154,816.29 and 40,876.50 is: 61,317.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,206 : 154,816.29 = 40,876.50 : x
  2. Step 2: Convert to fraction form
    103,206/154,816.29 = 40,876.50/x
  3. Step 3: Cross multiply
    103,206x = 154,816.29 × 40,876.50
  4. Step 4: Simplify right side
    103,206x = 6,328,348,078.19
  5. Step 5: Solve for x
    x = 6,328,348,078.19/103,206
  6. Step 6: Final answer
    x = 61,317.64

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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.