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Finding the Fourth Proportional to 100,041.43, 149,895.55 and 70,396.98

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Solution

The fourth proportional to 100,041.43, 149,895.55 and 70,396.98 is: 105,478.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,041.43 : 149,895.55 = 70,396.98 : x
  2. Step 2: Convert to fraction form
    100,041.43/149,895.55 = 70,396.98/x
  3. Step 3: Cross multiply
    100,041.43x = 149,895.55 × 70,396.98
  4. Step 4: Simplify right side
    100,041.43x = 10,552,194,035.44
  5. Step 5: Solve for x
    x = 10,552,194,035.44/100,041.43
  6. Step 6: Final answer
    x = 105,478.24

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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.