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Finding the Fourth Proportional to 72,712.80, 109,127.52 and 37,662.48

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Solution

The fourth proportional to 72,712.80, 109,127.52 and 37,662.48 is: 56,523.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,712.80 : 109,127.52 = 37,662.48 : x
  2. Step 2: Convert to fraction form
    72,712.80/109,127.52 = 37,662.48/x
  3. Step 3: Cross multiply
    72,712.80x = 109,127.52 × 37,662.48
  4. Step 4: Simplify right side
    72,712.80x = 4,110,013,039.45
  5. Step 5: Solve for x
    x = 4,110,013,039.45/72,712.80
  6. Step 6: Final answer
    x = 56,523.93

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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.