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Finding the Fourth Proportional to 117,433.72, 162,193.14 and 77,326.78

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Solution

The fourth proportional to 117,433.72, 162,193.14 and 77,326.78 is: 106,799.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,433.72 : 162,193.14 = 77,326.78 : x
  2. Step 2: Convert to fraction form
    117,433.72/162,193.14 = 77,326.78/x
  3. Step 3: Cross multiply
    117,433.72x = 162,193.14 × 77,326.78
  4. Step 4: Simplify right side
    117,433.72x = 12,541,873,254.29
  5. Step 5: Solve for x
    x = 12,541,873,254.29/117,433.72
  6. Step 6: Final answer
    x = 106,799.59

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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.