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Finding the Fourth Proportional to 92,867, 128,156.46 and 53,123

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Solution

The fourth proportional to 92,867, 128,156.46 and 53,123 is: 73,309.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,867 : 128,156.46 = 53,123 : x
  2. Step 2: Convert to fraction form
    92,867/128,156.46 = 53,123/x
  3. Step 3: Cross multiply
    92,867x = 128,156.46 × 53,123
  4. Step 4: Simplify right side
    92,867x = 6,808,055,624.58
  5. Step 5: Solve for x
    x = 6,808,055,624.58/92,867
  6. Step 6: Final answer
    x = 73,309.74

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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.