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Finding the Fourth Proportional to 102,920.70, 154,709.10 and 97,015.80

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Solution

The fourth proportional to 102,920.70, 154,709.10 and 97,015.80 is: 145,832.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,920.70 : 154,709.10 = 97,015.80 : x
  2. Step 2: Convert to fraction form
    102,920.70/154,709.10 = 97,015.80/x
  3. Step 3: Cross multiply
    102,920.70x = 154,709.10 × 97,015.80
  4. Step 4: Simplify right side
    102,920.70x = 15,009,227,103.78
  5. Step 5: Solve for x
    x = 15,009,227,103.78/102,920.70
  6. Step 6: Final answer
    x = 145,832.93

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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.