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Finding the Fourth Proportional to 103,976.30, 155,964.45 and 97,415.30

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Solution

The fourth proportional to 103,976.30, 155,964.45 and 97,415.30 is: 146,122.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,976.30 : 155,964.45 = 97,415.30 : x
  2. Step 2: Convert to fraction form
    103,976.30/155,964.45 = 97,415.30/x
  3. Step 3: Cross multiply
    103,976.30x = 155,964.45 × 97,415.30
  4. Step 4: Simplify right side
    103,976.30x = 15,193,323,686.09
  5. Step 5: Solve for x
    x = 15,193,323,686.09/103,976.30
  6. Step 6: Final answer
    x = 146,122.95

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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.