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Finding the Fourth Proportional to 77,459.46, 106,197.92 and 76,059.78

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Solution

The fourth proportional to 77,459.46, 106,197.92 and 76,059.78 is: 104,278.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,459.46 : 106,197.92 = 76,059.78 : x
  2. Step 2: Convert to fraction form
    77,459.46/106,197.92 = 76,059.78/x
  3. Step 3: Cross multiply
    77,459.46x = 106,197.92 × 76,059.78
  4. Step 4: Simplify right side
    77,459.46x = 8,077,390,051.36
  5. Step 5: Solve for x
    x = 8,077,390,051.36/77,459.46
  6. Step 6: Final answer
    x = 104,278.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.