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Finding the Fourth Proportional to 57,616, 79,510.08 and 31,120

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Solution

The fourth proportional to 57,616, 79,510.08 and 31,120 is: 42,945.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,616 : 79,510.08 = 31,120 : x
  2. Step 2: Convert to fraction form
    57,616/79,510.08 = 31,120/x
  3. Step 3: Cross multiply
    57,616x = 79,510.08 × 31,120
  4. Step 4: Simplify right side
    57,616x = 2,474,353,689.60
  5. Step 5: Solve for x
    x = 2,474,353,689.60/57,616
  6. Step 6: Final answer
    x = 42,945.60

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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.