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Finding the Fourth Proportional to 97,770, 146,655 and 35,440.56

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Solution

The fourth proportional to 97,770, 146,655 and 35,440.56 is: 53,160.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,770 : 146,655 = 35,440.56 : x
  2. Step 2: Convert to fraction form
    97,770/146,655 = 35,440.56/x
  3. Step 3: Cross multiply
    97,770x = 146,655 × 35,440.56
  4. Step 4: Simplify right side
    97,770x = 5,197,535,326.80
  5. Step 5: Solve for x
    x = 5,197,535,326.80/97,770
  6. Step 6: Final answer
    x = 53,160.84

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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.