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Finding the Fourth Proportional to 76,775.82, 106,016.06 and 48,143.64

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Solution

The fourth proportional to 76,775.82, 106,016.06 and 48,143.64 is: 66,479.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,775.82 : 106,016.06 = 48,143.64 : x
  2. Step 2: Convert to fraction form
    76,775.82/106,016.06 = 48,143.64/x
  3. Step 3: Cross multiply
    76,775.82x = 106,016.06 × 48,143.64
  4. Step 4: Simplify right side
    76,775.82x = 5,103,999,026.86
  5. Step 5: Solve for x
    x = 5,103,999,026.86/76,775.82
  6. Step 6: Final answer
    x = 66,479.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.