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Finding the Fourth Proportional to 102,896.64, 154,355.04 and 52,839.36

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Solution

The fourth proportional to 102,896.64, 154,355.04 and 52,839.36 is: 79,264.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,896.64 : 154,355.04 = 52,839.36 : x
  2. Step 2: Convert to fraction form
    102,896.64/154,355.04 = 52,839.36/x
  3. Step 3: Cross multiply
    102,896.64x = 154,355.04 × 52,839.36
  4. Step 4: Simplify right side
    102,896.64x = 8,156,021,526.37
  5. Step 5: Solve for x
    x = 8,156,021,526.37/102,896.64
  6. Step 6: Final answer
    x = 79,264.22

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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.