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Finding the Fourth Proportional to 85,459.52, 128,179.20 and 53,776.10

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Solution

The fourth proportional to 85,459.52, 128,179.20 and 53,776.10 is: 80,657.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,459.52 : 128,179.20 = 53,776.10 : x
  2. Step 2: Convert to fraction form
    85,459.52/128,179.20 = 53,776.10/x
  3. Step 3: Cross multiply
    85,459.52x = 128,179.20 × 53,776.10
  4. Step 4: Simplify right side
    85,459.52x = 6,892,977,477.12
  5. Step 5: Solve for x
    x = 6,892,977,477.12/85,459.52
  6. Step 6: Final answer
    x = 80,657.81

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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.