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Finding the Fourth Proportional to 85,640.76, 128,480.64 and 46,197

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Solution

The fourth proportional to 85,640.76, 128,480.64 and 46,197 is: 69,306.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,640.76 : 128,480.64 = 46,197 : x
  2. Step 2: Convert to fraction form
    85,640.76/128,480.64 = 46,197/x
  3. Step 3: Cross multiply
    85,640.76x = 128,480.64 × 46,197
  4. Step 4: Simplify right side
    85,640.76x = 5,935,420,126.08
  5. Step 5: Solve for x
    x = 5,935,420,126.08/85,640.76
  6. Step 6: Final answer
    x = 69,306.02

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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.