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Finding the Fourth Proportional to 145,605.78, 218,408.43 and 45,774.69

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Solution

The fourth proportional to 145,605.78, 218,408.43 and 45,774.69 is: 68,661.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,605.78 : 218,408.43 = 45,774.69 : x
  2. Step 2: Convert to fraction form
    145,605.78/218,408.43 = 45,774.69/x
  3. Step 3: Cross multiply
    145,605.78x = 218,408.43 × 45,774.69
  4. Step 4: Simplify right side
    145,605.78x = 9,997,578,176.64
  5. Step 5: Solve for x
    x = 9,997,578,176.64/145,605.78
  6. Step 6: Final answer
    x = 68,661.96

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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.