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Finding the Fourth Proportional to 145,142.86, 200,262.10 and 84,679

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Solution

The fourth proportional to 145,142.86, 200,262.10 and 84,679 is: 116,836.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,142.86 : 200,262.10 = 84,679 : x
  2. Step 2: Convert to fraction form
    145,142.86/200,262.10 = 84,679/x
  3. Step 3: Cross multiply
    145,142.86x = 200,262.10 × 84,679
  4. Step 4: Simplify right side
    145,142.86x = 16,957,994,365.90
  5. Step 5: Solve for x
    x = 16,957,994,365.90/145,142.86
  6. Step 6: Final answer
    x = 116,836.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.