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Finding the Fourth Proportional to 147,310.68, 203,281.74 and 83,640

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Solution

The fourth proportional to 147,310.68, 203,281.74 and 83,640 is: 115,419.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,310.68 : 203,281.74 = 83,640 : x
  2. Step 2: Convert to fraction form
    147,310.68/203,281.74 = 83,640/x
  3. Step 3: Cross multiply
    147,310.68x = 203,281.74 × 83,640
  4. Step 4: Simplify right side
    147,310.68x = 17,002,484,733.60
  5. Step 5: Solve for x
    x = 17,002,484,733.60/147,310.68
  6. Step 6: Final answer
    x = 115,419.23

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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.