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Finding the Fourth Proportional to 145,195.58, 200,364.72 and 81,536.06

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Solution

The fourth proportional to 145,195.58, 200,364.72 and 81,536.06 is: 112,516.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,195.58 : 200,364.72 = 81,536.06 : x
  2. Step 2: Convert to fraction form
    145,195.58/200,364.72 = 81,536.06/x
  3. Step 3: Cross multiply
    145,195.58x = 200,364.72 × 81,536.06
  4. Step 4: Simplify right side
    145,195.58x = 16,336,949,831.80
  5. Step 5: Solve for x
    x = 16,336,949,831.80/145,195.58
  6. Step 6: Final answer
    x = 112,516.85

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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.