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Finding the Fourth Proportional to 81,602.34, 122,346.08 and 31,640.32

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Solution

The fourth proportional to 81,602.34, 122,346.08 and 31,640.32 is: 47,438.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,602.34 : 122,346.08 = 31,640.32 : x
  2. Step 2: Convert to fraction form
    81,602.34/122,346.08 = 31,640.32/x
  3. Step 3: Cross multiply
    81,602.34x = 122,346.08 × 31,640.32
  4. Step 4: Simplify right side
    81,602.34x = 3,871,069,235.33
  5. Step 5: Solve for x
    x = 3,871,069,235.33/81,602.34
  6. Step 6: Final answer
    x = 47,438.22

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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.