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Finding the Fourth Proportional to 136,784.16, 188,847.46 and 88,411.40

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Solution

The fourth proportional to 136,784.16, 188,847.46 and 88,411.40 is: 122,062.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,784.16 : 188,847.46 = 88,411.40 : x
  2. Step 2: Convert to fraction form
    136,784.16/188,847.46 = 88,411.40/x
  3. Step 3: Cross multiply
    136,784.16x = 188,847.46 × 88,411.40
  4. Step 4: Simplify right side
    136,784.16x = 16,696,268,325.04
  5. Step 5: Solve for x
    x = 16,696,268,325.04/136,784.16
  6. Step 6: Final answer
    x = 122,062.88

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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.