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Finding the Fourth Proportional to 76,121.60, 114,182.40 and 51,238.40

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Solution

The fourth proportional to 76,121.60, 114,182.40 and 51,238.40 is: 76,857.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,121.60 : 114,182.40 = 51,238.40 : x
  2. Step 2: Convert to fraction form
    76,121.60/114,182.40 = 51,238.40/x
  3. Step 3: Cross multiply
    76,121.60x = 114,182.40 × 51,238.40
  4. Step 4: Simplify right side
    76,121.60x = 5,850,523,484.16
  5. Step 5: Solve for x
    x = 5,850,523,484.16/76,121.60
  6. Step 6: Final answer
    x = 76,857.60

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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.