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Finding the Fourth Proportional to 103,965.76, 155,964 and 30,084.16

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Solution

The fourth proportional to 103,965.76, 155,964 and 30,084.16 is: 45,130.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,965.76 : 155,964 = 30,084.16 : x
  2. Step 2: Convert to fraction form
    103,965.76/155,964 = 30,084.16/x
  3. Step 3: Cross multiply
    103,965.76x = 155,964 × 30,084.16
  4. Step 4: Simplify right side
    103,965.76x = 4,692,045,930.24
  5. Step 5: Solve for x
    x = 4,692,045,930.24/103,965.76
  6. Step 6: Final answer
    x = 45,130.68

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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.