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Finding the Fourth Proportional to 145,593.18, 218,234.25 and 103,913.82

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Solution

The fourth proportional to 145,593.18, 218,234.25 and 103,913.82 is: 155,759.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,593.18 : 218,234.25 = 103,913.82 : x
  2. Step 2: Convert to fraction form
    145,593.18/218,234.25 = 103,913.82/x
  3. Step 3: Cross multiply
    145,593.18x = 218,234.25 × 103,913.82
  4. Step 4: Simplify right side
    145,593.18x = 22,677,554,572.34
  5. Step 5: Solve for x
    x = 22,677,554,572.34/145,593.18
  6. Step 6: Final answer
    x = 155,759.73

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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.