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Finding the Fourth Proportional to 57,230.03, 78,978.36 and 31,737.44

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Solution

The fourth proportional to 57,230.03, 78,978.36 and 31,737.44 is: 43,798.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,230.03 : 78,978.36 = 31,737.44 : x
  2. Step 2: Convert to fraction form
    57,230.03/78,978.36 = 31,737.44/x
  3. Step 3: Cross multiply
    57,230.03x = 78,978.36 × 31,737.44
  4. Step 4: Simplify right side
    57,230.03x = 2,506,570,566.91
  5. Step 5: Solve for x
    x = 2,506,570,566.91/57,230.03
  6. Step 6: Final answer
    x = 43,798.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.