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Finding the Fourth Proportional to 102,936.30, 154,404.45 and 98,124.90

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Solution

The fourth proportional to 102,936.30, 154,404.45 and 98,124.90 is: 147,187.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,936.30 : 154,404.45 = 98,124.90 : x
  2. Step 2: Convert to fraction form
    102,936.30/154,404.45 = 98,124.90/x
  3. Step 3: Cross multiply
    102,936.30x = 154,404.45 × 98,124.90
  4. Step 4: Simplify right side
    102,936.30x = 15,150,921,215.81
  5. Step 5: Solve for x
    x = 15,150,921,215.81/102,936.30
  6. Step 6: Final answer
    x = 147,187.35

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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.