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Finding the Fourth Proportional to 145,758.76, 201,141.84 and 82,102.48

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Solution

The fourth proportional to 145,758.76, 201,141.84 and 82,102.48 is: 113,298.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,758.76 : 201,141.84 = 82,102.48 : x
  2. Step 2: Convert to fraction form
    145,758.76/201,141.84 = 82,102.48/x
  3. Step 3: Cross multiply
    145,758.76x = 201,141.84 × 82,102.48
  4. Step 4: Simplify right side
    145,758.76x = 16,514,243,895.76
  5. Step 5: Solve for x
    x = 16,514,243,895.76/145,758.76
  6. Step 6: Final answer
    x = 113,298.47

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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.