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Finding the Fourth Proportional to 77,407.85, 106,832.72 and 45,579.71

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Solution

The fourth proportional to 77,407.85, 106,832.72 and 45,579.71 is: 62,905.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,407.85 : 106,832.72 = 45,579.71 : x
  2. Step 2: Convert to fraction form
    77,407.85/106,832.72 = 45,579.71/x
  3. Step 3: Cross multiply
    77,407.85x = 106,832.72 × 45,579.71
  4. Step 4: Simplify right side
    77,407.85x = 4,869,404,396.11
  5. Step 5: Solve for x
    x = 4,869,404,396.11/77,407.85
  6. Step 6: Final answer
    x = 62,905.82

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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.