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Finding the Fourth Proportional to 145,274.25, 200,489.40 and 88,696.56

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Solution

The fourth proportional to 145,274.25, 200,489.40 and 88,696.56 is: 122,407.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,274.25 : 200,489.40 = 88,696.56 : x
  2. Step 2: Convert to fraction form
    145,274.25/200,489.40 = 88,696.56/x
  3. Step 3: Cross multiply
    145,274.25x = 200,489.40 × 88,696.56
  4. Step 4: Simplify right side
    145,274.25x = 17,782,720,096.46
  5. Step 5: Solve for x
    x = 17,782,720,096.46/145,274.25
  6. Step 6: Final answer
    x = 122,407.93

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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.