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Finding the Fourth Proportional to 102,318.90, 153,806.40 and 72,940.20

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Solution

The fourth proportional to 102,318.90, 153,806.40 and 72,940.20 is: 109,644.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,318.90 : 153,806.40 = 72,940.20 : x
  2. Step 2: Convert to fraction form
    102,318.90/153,806.40 = 72,940.20/x
  3. Step 3: Cross multiply
    102,318.90x = 153,806.40 × 72,940.20
  4. Step 4: Simplify right side
    102,318.90x = 11,218,669,577.28
  5. Step 5: Solve for x
    x = 11,218,669,577.28/102,318.90
  6. Step 6: Final answer
    x = 109,644.16

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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.