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Finding the Fourth Proportional to 102,954.25, 154,140.09 and 65,421.28

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Solution

The fourth proportional to 102,954.25, 154,140.09 and 65,421.28 is: 97,946.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,954.25 : 154,140.09 = 65,421.28 : x
  2. Step 2: Convert to fraction form
    102,954.25/154,140.09 = 65,421.28/x
  3. Step 3: Cross multiply
    102,954.25x = 154,140.09 × 65,421.28
  4. Step 4: Simplify right side
    102,954.25x = 10,084,041,987.12
  5. Step 5: Solve for x
    x = 10,084,041,987.12/102,954.25
  6. Step 6: Final answer
    x = 97,946.83

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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.