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Finding the Fourth Proportional to 57,496, 85,935.12 and 51,860.80

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Solution

The fourth proportional to 57,496, 85,935.12 and 51,860.80 is: 77,512.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,496 : 85,935.12 = 51,860.80 : x
  2. Step 2: Convert to fraction form
    57,496/85,935.12 = 51,860.80/x
  3. Step 3: Cross multiply
    57,496x = 85,935.12 × 51,860.80
  4. Step 4: Simplify right side
    57,496x = 4,456,664,071.30
  5. Step 5: Solve for x
    x = 4,456,664,071.30/57,496
  6. Step 6: Final answer
    x = 77,512.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.