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Finding the Fourth Proportional to 145,896.64, 218,855.68 and 52,403.20

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Solution

The fourth proportional to 145,896.64, 218,855.68 and 52,403.20 is: 78,608.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,896.64 : 218,855.68 = 52,403.20 : x
  2. Step 2: Convert to fraction form
    145,896.64/218,855.68 = 52,403.20/x
  3. Step 3: Cross multiply
    145,896.64x = 218,855.68 × 52,403.20
  4. Step 4: Simplify right side
    145,896.64x = 11,468,737,970.18
  5. Step 5: Solve for x
    x = 11,468,737,970.18/145,896.64
  6. Step 6: Final answer
    x = 78,608.65

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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.