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Finding the Fourth Proportional to 76,670.76, 114,996.42 and 56,978.04

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Solution

The fourth proportional to 76,670.76, 114,996.42 and 56,978.04 is: 85,459.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,670.76 : 114,996.42 = 56,978.04 : x
  2. Step 2: Convert to fraction form
    76,670.76/114,996.42 = 56,978.04/x
  3. Step 3: Cross multiply
    76,670.76x = 114,996.42 × 56,978.04
  4. Step 4: Simplify right side
    76,670.76x = 6,552,270,618.62
  5. Step 5: Solve for x
    x = 6,552,270,618.62/76,670.76
  6. Step 6: Final answer
    x = 85,459.84

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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.