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Finding the Fourth Proportional to 81,602.34, 122,415.84 and 28,999.32

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Solution

The fourth proportional to 81,602.34, 122,415.84 and 28,999.32 is: 43,503.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,602.34 : 122,415.84 = 28,999.32 : x
  2. Step 2: Convert to fraction form
    81,602.34/122,415.84 = 28,999.32/x
  3. Step 3: Cross multiply
    81,602.34x = 122,415.84 × 28,999.32
  4. Step 4: Simplify right side
    81,602.34x = 3,549,976,117.23
  5. Step 5: Solve for x
    x = 3,549,976,117.23/81,602.34
  6. Step 6: Final answer
    x = 43,503.36

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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.