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Finding the Fourth Proportional to 103,874.49, 143,346.84 and 56,127.84

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Solution

The fourth proportional to 103,874.49, 143,346.84 and 56,127.84 is: 77,456.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,874.49 : 143,346.84 = 56,127.84 : x
  2. Step 2: Convert to fraction form
    103,874.49/143,346.84 = 56,127.84/x
  3. Step 3: Cross multiply
    103,874.49x = 143,346.84 × 56,127.84
  4. Step 4: Simplify right side
    103,874.49x = 8,045,747,909.86
  5. Step 5: Solve for x
    x = 8,045,747,909.86/103,874.49
  6. Step 6: Final answer
    x = 77,456.44

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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.