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Finding the Fourth Proportional to 97,387.80, 146,136.78 and 53,017.62

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Solution

The fourth proportional to 97,387.80, 146,136.78 and 53,017.62 is: 79,556.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,387.80 : 146,136.78 = 53,017.62 : x
  2. Step 2: Convert to fraction form
    97,387.80/146,136.78 = 53,017.62/x
  3. Step 3: Cross multiply
    97,387.80x = 146,136.78 × 53,017.62
  4. Step 4: Simplify right side
    97,387.80x = 7,747,824,270.06
  5. Step 5: Solve for x
    x = 7,747,824,270.06/97,387.80
  6. Step 6: Final answer
    x = 79,556.42

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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.