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Finding the Fourth Proportional to 57,270.84, 85,912.16 and 19,830.84

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Solution

The fourth proportional to 57,270.84, 85,912.16 and 19,830.84 is: 29,748.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,270.84 : 85,912.16 = 19,830.84 : x
  2. Step 2: Convert to fraction form
    57,270.84/85,912.16 = 19,830.84/x
  3. Step 3: Cross multiply
    57,270.84x = 85,912.16 × 19,830.84
  4. Step 4: Simplify right side
    57,270.84x = 1,703,710,199.86
  5. Step 5: Solve for x
    x = 1,703,710,199.86/57,270.84
  6. Step 6: Final answer
    x = 29,748.30

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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.