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Finding the Fourth Proportional to 85,406, 128,186.74 and 45,458.52

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Solution

The fourth proportional to 85,406, 128,186.74 and 45,458.52 is: 68,229.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,406 : 128,186.74 = 45,458.52 : x
  2. Step 2: Convert to fraction form
    85,406/128,186.74 = 45,458.52/x
  3. Step 3: Cross multiply
    85,406x = 128,186.74 × 45,458.52
  4. Step 4: Simplify right side
    85,406x = 5,827,179,484.02
  5. Step 5: Solve for x
    x = 5,827,179,484.02/85,406
  6. Step 6: Final answer
    x = 68,229.16

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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.