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Finding the Fourth Proportional to 92,868, 128,157.84 and 53,124

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Solution

The fourth proportional to 92,868, 128,157.84 and 53,124 is: 73,311.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,868 : 128,157.84 = 53,124 : x
  2. Step 2: Convert to fraction form
    92,868/128,157.84 = 53,124/x
  3. Step 3: Cross multiply
    92,868x = 128,157.84 × 53,124
  4. Step 4: Simplify right side
    92,868x = 6,808,257,092.16
  5. Step 5: Solve for x
    x = 6,808,257,092.16/92,868
  6. Step 6: Final answer
    x = 73,311.12

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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.