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Finding the Fourth Proportional to 286,128, 429,192.02 and 108,635.11

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Solution

The fourth proportional to 286,128, 429,192.02 and 108,635.11 is: 162,952.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,128 : 429,192.02 = 108,635.11 : x
  2. Step 2: Convert to fraction form
    286,128/429,192.02 = 108,635.11/x
  3. Step 3: Cross multiply
    286,128x = 429,192.02 × 108,635.11
  4. Step 4: Simplify right side
    286,128x = 46,625,321,502.43
  5. Step 5: Solve for x
    x = 46,625,321,502.43/286,128
  6. Step 6: Final answer
    x = 162,952.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.