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Finding the Fourth Proportional to 57,152.95, 85,733.53 and 19,712.47

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Solution

The fourth proportional to 57,152.95, 85,733.53 and 19,712.47 is: 29,570.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,152.95 : 85,733.53 = 19,712.47 : x
  2. Step 2: Convert to fraction form
    57,152.95/85,733.53 = 19,712.47/x
  3. Step 3: Cross multiply
    57,152.95x = 85,733.53 × 19,712.47
  4. Step 4: Simplify right side
    57,152.95x = 1,690,019,638.12
  5. Step 5: Solve for x
    x = 1,690,019,638.12/57,152.95
  6. Step 6: Final answer
    x = 29,570.12

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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.