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Finding the Fourth Proportional to 138,148.48, 190,599.24 and 83,680.48

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Solution

The fourth proportional to 138,148.48, 190,599.24 and 83,680.48 is: 115,451.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,148.48 : 190,599.24 = 83,680.48 : x
  2. Step 2: Convert to fraction form
    138,148.48/190,599.24 = 83,680.48/x
  3. Step 3: Cross multiply
    138,148.48x = 190,599.24 × 83,680.48
  4. Step 4: Simplify right side
    138,148.48x = 15,949,435,890.84
  5. Step 5: Solve for x
    x = 15,949,435,890.84/138,148.48
  6. Step 6: Final answer
    x = 115,451.40

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1.5x scale

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.