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Finding the Fourth Proportional to 106,854.82, 160,238.40 and 47,650

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Solution

The fourth proportional to 106,854.82, 160,238.40 and 47,650 is: 71,455.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,854.82 : 160,238.40 = 47,650 : x
  2. Step 2: Convert to fraction form
    106,854.82/160,238.40 = 47,650/x
  3. Step 3: Cross multiply
    106,854.82x = 160,238.40 × 47,650
  4. Step 4: Simplify right side
    106,854.82x = 7,635,359,760
  5. Step 5: Solve for x
    x = 7,635,359,760/106,854.82
  6. Step 6: Final answer
    x = 71,455.45

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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.