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Finding the Fourth Proportional to 103,876.36, 143,350 and 65,652.84

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Solution

The fourth proportional to 103,876.36, 143,350 and 65,652.84 is: 90,601.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,876.36 : 143,350 = 65,652.84 : x
  2. Step 2: Convert to fraction form
    103,876.36/143,350 = 65,652.84/x
  3. Step 3: Cross multiply
    103,876.36x = 143,350 × 65,652.84
  4. Step 4: Simplify right side
    103,876.36x = 9,411,334,614
  5. Step 5: Solve for x
    x = 9,411,334,614/103,876.36
  6. Step 6: Final answer
    x = 90,601.31

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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.