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Finding the Fourth Proportional to 57,402.16, 85,942.80 and 31,012.40

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Solution

The fourth proportional to 57,402.16, 85,942.80 and 31,012.40 is: 46,431.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,402.16 : 85,942.80 = 31,012.40 : x
  2. Step 2: Convert to fraction form
    57,402.16/85,942.80 = 31,012.40/x
  3. Step 3: Cross multiply
    57,402.16x = 85,942.80 × 31,012.40
  4. Step 4: Simplify right side
    57,402.16x = 2,665,292,490.72
  5. Step 5: Solve for x
    x = 2,665,292,490.72/57,402.16
  6. Step 6: Final answer
    x = 46,431.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.