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Finding the Fourth Proportional to 76,794.60, 114,931.80 and 47,231.16

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Solution

The fourth proportional to 76,794.60, 114,931.80 and 47,231.16 is: 70,686.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,794.60 : 114,931.80 = 47,231.16 : x
  2. Step 2: Convert to fraction form
    76,794.60/114,931.80 = 47,231.16/x
  3. Step 3: Cross multiply
    76,794.60x = 114,931.80 × 47,231.16
  4. Step 4: Simplify right side
    76,794.60x = 5,428,362,234.89
  5. Step 5: Solve for x
    x = 5,428,362,234.89/76,794.60
  6. Step 6: Final answer
    x = 70,686.77

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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.