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Finding the Fourth Proportional to 105,488.94, 158,216.35 and 38,960.40

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Solution

The fourth proportional to 105,488.94, 158,216.35 and 38,960.40 is: 58,434.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,488.94 : 158,216.35 = 38,960.40 : x
  2. Step 2: Convert to fraction form
    105,488.94/158,216.35 = 38,960.40/x
  3. Step 3: Cross multiply
    105,488.94x = 158,216.35 × 38,960.40
  4. Step 4: Simplify right side
    105,488.94x = 6,164,172,282.54
  5. Step 5: Solve for x
    x = 6,164,172,282.54/105,488.94
  6. Step 6: Final answer
    x = 58,434.30

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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.