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Finding the Fourth Proportional to 145,772.76, 201,162.78 and 82,106.76

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Solution

The fourth proportional to 145,772.76, 201,162.78 and 82,106.76 is: 113,305.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,772.76 : 201,162.78 = 82,106.76 : x
  2. Step 2: Convert to fraction form
    145,772.76/201,162.78 = 82,106.76/x
  3. Step 3: Cross multiply
    145,772.76x = 201,162.78 × 82,106.76
  4. Step 4: Simplify right side
    145,772.76x = 16,516,824,098.39
  5. Step 5: Solve for x
    x = 16,516,824,098.39/145,772.76
  6. Step 6: Final answer
    x = 113,305.28

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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.