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Finding the Fourth Proportional to 72,977.01, 100,685.29 and 57,615.16

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Solution

The fourth proportional to 72,977.01, 100,685.29 and 57,615.16 is: 79,490.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,977.01 : 100,685.29 = 57,615.16 : x
  2. Step 2: Convert to fraction form
    72,977.01/100,685.29 = 57,615.16/x
  3. Step 3: Cross multiply
    72,977.01x = 100,685.29 × 57,615.16
  4. Step 4: Simplify right side
    72,977.01x = 5,800,998,589.57
  5. Step 5: Solve for x
    x = 5,800,998,589.57/72,977.01
  6. Step 6: Final answer
    x = 79,490.77

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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.