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Finding the Fourth Proportional to 128,825.40, 193,238.10 and 97,721.40

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Solution

The fourth proportional to 128,825.40, 193,238.10 and 97,721.40 is: 146,582.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,825.40 : 193,238.10 = 97,721.40 : x
  2. Step 2: Convert to fraction form
    128,825.40/193,238.10 = 97,721.40/x
  3. Step 3: Cross multiply
    128,825.40x = 193,238.10 × 97,721.40
  4. Step 4: Simplify right side
    128,825.40x = 18,883,497,665.34
  5. Step 5: Solve for x
    x = 18,883,497,665.34/128,825.40
  6. Step 6: Final answer
    x = 146,582.10

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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.