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Finding the Fourth Proportional to 77,659.64, 116,459.90 and 27,730.44

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Solution

The fourth proportional to 77,659.64, 116,459.90 and 27,730.44 is: 41,585.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,659.64 : 116,459.90 = 27,730.44 : x
  2. Step 2: Convert to fraction form
    77,659.64/116,459.90 = 27,730.44/x
  3. Step 3: Cross multiply
    77,659.64x = 116,459.90 × 27,730.44
  4. Step 4: Simplify right side
    77,659.64x = 3,229,484,269.36
  5. Step 5: Solve for x
    x = 3,229,484,269.36/77,659.64
  6. Step 6: Final answer
    x = 41,585.10

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1.5x scale

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.