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Finding the Fourth Proportional to 105,854.40, 158,796.16 and 39,288.88

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Solution

The fourth proportional to 105,854.40, 158,796.16 and 39,288.88 is: 58,938.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,854.40 : 158,796.16 = 39,288.88 : x
  2. Step 2: Convert to fraction form
    105,854.40/158,796.16 = 39,288.88/x
  3. Step 3: Cross multiply
    105,854.40x = 158,796.16 × 39,288.88
  4. Step 4: Simplify right side
    105,854.40x = 6,238,923,274.70
  5. Step 5: Solve for x
    x = 6,238,923,274.70/105,854.40
  6. Step 6: Final answer
    x = 58,938.72

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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.