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Finding the Fourth Proportional to 85,579, 128,386.50 and 32,269.96

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Solution

The fourth proportional to 85,579, 128,386.50 and 32,269.96 is: 48,411.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,579 : 128,386.50 = 32,269.96 : x
  2. Step 2: Convert to fraction form
    85,579/128,386.50 = 32,269.96/x
  3. Step 3: Cross multiply
    85,579x = 128,386.50 × 32,269.96
  4. Step 4: Simplify right side
    85,579x = 4,143,027,219.54
  5. Step 5: Solve for x
    x = 4,143,027,219.54/85,579
  6. Step 6: Final answer
    x = 48,411.73

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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.