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Finding the Fourth Proportional to 145,898.64, 218,858.68 and 52,405.20

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Solution

The fourth proportional to 145,898.64, 218,858.68 and 52,405.20 is: 78,611.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,898.64 : 218,858.68 = 52,405.20 : x
  2. Step 2: Convert to fraction form
    145,898.64/218,858.68 = 52,405.20/x
  3. Step 3: Cross multiply
    145,898.64x = 218,858.68 × 52,405.20
  4. Step 4: Simplify right side
    145,898.64x = 11,469,332,897.14
  5. Step 5: Solve for x
    x = 11,469,332,897.14/145,898.64
  6. Step 6: Final answer
    x = 78,611.65

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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.