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Finding the Fourth Proportional to 81,513.60, 122,270.80 and 37,109.28

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Solution

The fourth proportional to 81,513.60, 122,270.80 and 37,109.28 is: 55,664.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,513.60 : 122,270.80 = 37,109.28 : x
  2. Step 2: Convert to fraction form
    81,513.60/122,270.80 = 37,109.28/x
  3. Step 3: Cross multiply
    81,513.60x = 122,270.80 × 37,109.28
  4. Step 4: Simplify right side
    81,513.60x = 4,537,381,353.02
  5. Step 5: Solve for x
    x = 4,537,381,353.02/81,513.60
  6. Step 6: Final answer
    x = 55,664.10

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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.