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Finding the Fourth Proportional to 109,871, 164,839.26 and 77,911.64

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Solution

The fourth proportional to 109,871, 164,839.26 and 77,911.64 is: 116,890.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,871 : 164,839.26 = 77,911.64 : x
  2. Step 2: Convert to fraction form
    109,871/164,839.26 = 77,911.64/x
  3. Step 3: Cross multiply
    109,871x = 164,839.26 × 77,911.64
  4. Step 4: Simplify right side
    109,871x = 12,842,897,082.99
  5. Step 5: Solve for x
    x = 12,842,897,082.99/109,871
  6. Step 6: Final answer
    x = 116,890.69

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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.