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Finding the Fourth Proportional to 145,732.56, 218,614.50 and 45,895.80

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Solution

The fourth proportional to 145,732.56, 218,614.50 and 45,895.80 is: 68,848.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,732.56 : 218,614.50 = 45,895.80 : x
  2. Step 2: Convert to fraction form
    145,732.56/218,614.50 = 45,895.80/x
  3. Step 3: Cross multiply
    145,732.56x = 218,614.50 × 45,895.80
  4. Step 4: Simplify right side
    145,732.56x = 10,033,487,369.10
  5. Step 5: Solve for x
    x = 10,033,487,369.10/145,732.56
  6. Step 6: Final answer
    x = 68,848.63

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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.