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Finding the Fourth Proportional to 138,295.32, 207,455.82 and 107,165.40

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Solution

The fourth proportional to 138,295.32, 207,455.82 and 107,165.40 is: 160,758.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,295.32 : 207,455.82 = 107,165.40 : x
  2. Step 2: Convert to fraction form
    138,295.32/207,455.82 = 107,165.40/x
  3. Step 3: Cross multiply
    138,295.32x = 207,455.82 × 107,165.40
  4. Step 4: Simplify right side
    138,295.32x = 22,232,085,932.63
  5. Step 5: Solve for x
    x = 22,232,085,932.63/138,295.32
  6. Step 6: Final answer
    x = 160,758.05

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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.