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Finding the Fourth Proportional to 78,733.50, 108,846.63 and 75,428.70

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Solution

The fourth proportional to 78,733.50, 108,846.63 and 75,428.70 is: 104,277.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,733.50 : 108,846.63 = 75,428.70 : x
  2. Step 2: Convert to fraction form
    78,733.50/108,846.63 = 75,428.70/x
  3. Step 3: Cross multiply
    78,733.50x = 108,846.63 × 75,428.70
  4. Step 4: Simplify right side
    78,733.50x = 8,210,159,800.28
  5. Step 5: Solve for x
    x = 8,210,159,800.28/78,733.50
  6. Step 6: Final answer
    x = 104,277.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.