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Finding the Fourth Proportional to 148,788, 205,353.36 and 85,128.48

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Solution

The fourth proportional to 148,788, 205,353.36 and 85,128.48 is: 117,492.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,788 : 205,353.36 = 85,128.48 : x
  2. Step 2: Convert to fraction form
    148,788/205,353.36 = 85,128.48/x
  3. Step 3: Cross multiply
    148,788x = 205,353.36 × 85,128.48
  4. Step 4: Simplify right side
    148,788x = 17,481,419,399.69
  5. Step 5: Solve for x
    x = 17,481,419,399.69/148,788
  6. Step 6: Final answer
    x = 117,492.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.