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Finding the Fourth Proportional to 86,709.94, 129,928.83 and 51,630.46

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Solution

The fourth proportional to 86,709.94, 129,928.83 and 51,630.46 is: 77,364.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,709.94 : 129,928.83 = 51,630.46 : x
  2. Step 2: Convert to fraction form
    86,709.94/129,928.83 = 51,630.46/x
  3. Step 3: Cross multiply
    86,709.94x = 129,928.83 × 51,630.46
  4. Step 4: Simplify right side
    86,709.94x = 6,708,285,260.16
  5. Step 5: Solve for x
    x = 6,708,285,260.16/86,709.94
  6. Step 6: Final answer
    x = 77,364.66

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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.