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Finding the Fourth Proportional to 145,446.80, 200,629.56 and 88,759.76

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Solution

The fourth proportional to 145,446.80, 200,629.56 and 88,759.76 is: 122,435.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,446.80 : 200,629.56 = 88,759.76 : x
  2. Step 2: Convert to fraction form
    145,446.80/200,629.56 = 88,759.76/x
  3. Step 3: Cross multiply
    145,446.80x = 200,629.56 × 88,759.76
  4. Step 4: Simplify right side
    145,446.80x = 17,807,831,594.51
  5. Step 5: Solve for x
    x = 17,807,831,594.51/145,446.80
  6. Step 6: Final answer
    x = 122,435.36

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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.