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Finding the Fourth Proportional to 145,644.50, 218,478.59 and 40,463.46

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Solution

The fourth proportional to 145,644.50, 218,478.59 and 40,463.46 is: 60,698.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,644.50 : 218,478.59 = 40,463.46 : x
  2. Step 2: Convert to fraction form
    145,644.50/218,478.59 = 40,463.46/x
  3. Step 3: Cross multiply
    145,644.50x = 218,478.59 × 40,463.46
  4. Step 4: Simplify right side
    145,644.50x = 8,840,399,485.00
  5. Step 5: Solve for x
    x = 8,840,399,485.00/145,644.50
  6. Step 6: Final answer
    x = 60,698.48

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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.