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Finding the Fourth Proportional to 85,690.85, 128,562.53 and 38,345.81

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Solution

The fourth proportional to 85,690.85, 128,562.53 and 38,345.81 is: 57,530.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,690.85 : 128,562.53 = 38,345.81 : x
  2. Step 2: Convert to fraction form
    85,690.85/128,562.53 = 38,345.81/x
  3. Step 3: Cross multiply
    85,690.85x = 128,562.53 × 38,345.81
  4. Step 4: Simplify right side
    85,690.85x = 4,929,833,513.96
  5. Step 5: Solve for x
    x = 4,929,833,513.96/85,690.85
  6. Step 6: Final answer
    x = 57,530.46

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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.