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Finding the Fourth Proportional to 52,420.86, 72,341.04 and 31,200.89

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Solution

The fourth proportional to 52,420.86, 72,341.04 and 31,200.89 is: 43,057.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,420.86 : 72,341.04 = 31,200.89 : x
  2. Step 2: Convert to fraction form
    52,420.86/72,341.04 = 31,200.89/x
  3. Step 3: Cross multiply
    52,420.86x = 72,341.04 × 31,200.89
  4. Step 4: Simplify right side
    52,420.86x = 2,257,104,469.82
  5. Step 5: Solve for x
    x = 2,257,104,469.82/52,420.86
  6. Step 6: Final answer
    x = 43,057.37

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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.