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Finding the Fourth Proportional to 85,464, 128,180.16 and 23,126.40

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Solution

The fourth proportional to 85,464, 128,180.16 and 23,126.40 is: 34,685.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,464 : 128,180.16 = 23,126.40 : x
  2. Step 2: Convert to fraction form
    85,464/128,180.16 = 23,126.40/x
  3. Step 3: Cross multiply
    85,464x = 128,180.16 × 23,126.40
  4. Step 4: Simplify right side
    85,464x = 2,964,345,652.22
  5. Step 5: Solve for x
    x = 2,964,345,652.22/85,464
  6. Step 6: Final answer
    x = 34,685.31

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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.