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Finding the Fourth Proportional to 85,495.84, 128,112.52 and 52,165.96

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Solution

The fourth proportional to 85,495.84, 128,112.52 and 52,165.96 is: 78,168.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,495.84 : 128,112.52 = 52,165.96 : x
  2. Step 2: Convert to fraction form
    85,495.84/128,112.52 = 52,165.96/x
  3. Step 3: Cross multiply
    85,495.84x = 128,112.52 × 52,165.96
  4. Step 4: Simplify right side
    85,495.84x = 6,683,112,593.82
  5. Step 5: Solve for x
    x = 6,683,112,593.82/85,495.84
  6. Step 6: Final answer
    x = 78,168.86

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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.