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Finding the Fourth Proportional to 102,955.92, 154,172.52 and 86,272.08

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Solution

The fourth proportional to 102,955.92, 154,172.52 and 86,272.08 is: 129,189.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,955.92 : 154,172.52 = 86,272.08 : x
  2. Step 2: Convert to fraction form
    102,955.92/154,172.52 = 86,272.08/x
  3. Step 3: Cross multiply
    102,955.92x = 154,172.52 × 86,272.08
  4. Step 4: Simplify right side
    102,955.92x = 13,300,783,979.24
  5. Step 5: Solve for x
    x = 13,300,783,979.24/102,955.92
  6. Step 6: Final answer
    x = 129,189.11

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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.