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Finding the Fourth Proportional to 57,931, 86,703.63 and 43,813.24

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Solution

The fourth proportional to 57,931, 86,703.63 and 43,813.24 is: 65,573.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,931 : 86,703.63 = 43,813.24 : x
  2. Step 2: Convert to fraction form
    57,931/86,703.63 = 43,813.24/x
  3. Step 3: Cross multiply
    57,931x = 86,703.63 × 43,813.24
  4. Step 4: Simplify right side
    57,931x = 3,798,766,950.06
  5. Step 5: Solve for x
    x = 3,798,766,950.06/57,931
  6. Step 6: Final answer
    x = 65,573.99

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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.