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Finding the Fourth Proportional to 92,776.67, 138,929.49 and 77,744.28

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Solution

The fourth proportional to 92,776.67, 138,929.49 and 77,744.28 is: 116,419.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,776.67 : 138,929.49 = 77,744.28 : x
  2. Step 2: Convert to fraction form
    92,776.67/138,929.49 = 77,744.28/x
  3. Step 3: Cross multiply
    92,776.67x = 138,929.49 × 77,744.28
  4. Step 4: Simplify right side
    92,776.67x = 10,800,973,170.82
  5. Step 5: Solve for x
    x = 10,800,973,170.82/92,776.67
  6. Step 6: Final answer
    x = 116,419.06

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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.