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Finding the Fourth Proportional to 128,546.92, 192,083.45 and 97,982.92

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Solution

The fourth proportional to 128,546.92, 192,083.45 and 97,982.92 is: 146,412.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,546.92 : 192,083.45 = 97,982.92 : x
  2. Step 2: Convert to fraction form
    128,546.92/192,083.45 = 97,982.92/x
  3. Step 3: Cross multiply
    128,546.92x = 192,083.45 × 97,982.92
  4. Step 4: Simplify right side
    128,546.92x = 18,820,897,314.67
  5. Step 5: Solve for x
    x = 18,820,897,314.67/128,546.92
  6. Step 6: Final answer
    x = 146,412.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.