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Finding the Fourth Proportional to 100,696.80, 150,872.40 and 65,618.40

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Solution

The fourth proportional to 100,696.80, 150,872.40 and 65,618.40 is: 98,315.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,696.80 : 150,872.40 = 65,618.40 : x
  2. Step 2: Convert to fraction form
    100,696.80/150,872.40 = 65,618.40/x
  3. Step 3: Cross multiply
    100,696.80x = 150,872.40 × 65,618.40
  4. Step 4: Simplify right side
    100,696.80x = 9,900,005,492.16
  5. Step 5: Solve for x
    x = 9,900,005,492.16/100,696.80
  6. Step 6: Final answer
    x = 98,315.00

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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.