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Finding the Fourth Proportional to 105,659.03, 145,824.41 and 65,385.77

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Solution

The fourth proportional to 105,659.03, 145,824.41 and 65,385.77 is: 90,241.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,659.03 : 145,824.41 = 65,385.77 : x
  2. Step 2: Convert to fraction form
    105,659.03/145,824.41 = 65,385.77/x
  3. Step 3: Cross multiply
    105,659.03x = 145,824.41 × 65,385.77
  4. Step 4: Simplify right side
    105,659.03x = 9,534,841,587.25
  5. Step 5: Solve for x
    x = 9,534,841,587.25/105,659.03
  6. Step 6: Final answer
    x = 90,241.61

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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.