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Finding the Fourth Proportional to 103,673, 155,416.92 and 40,478.42

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Solution

The fourth proportional to 103,673, 155,416.92 and 40,478.42 is: 60,681.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,673 : 155,416.92 = 40,478.42 : x
  2. Step 2: Convert to fraction form
    103,673/155,416.92 = 40,478.42/x
  3. Step 3: Cross multiply
    103,673x = 155,416.92 × 40,478.42
  4. Step 4: Simplify right side
    103,673x = 6,291,031,362.87
  5. Step 5: Solve for x
    x = 6,291,031,362.87/103,673
  6. Step 6: Final answer
    x = 60,681.48

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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.