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Finding the Fourth Proportional to 119,702.80, 165,257.31 and 79,471.52

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Solution

The fourth proportional to 119,702.80, 165,257.31 and 79,471.52 is: 109,715.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,702.80 : 165,257.31 = 79,471.52 : x
  2. Step 2: Convert to fraction form
    119,702.80/165,257.31 = 79,471.52/x
  3. Step 3: Cross multiply
    119,702.80x = 165,257.31 × 79,471.52
  4. Step 4: Simplify right side
    119,702.80x = 13,133,249,616.81
  5. Step 5: Solve for x
    x = 13,133,249,616.81/119,702.80
  6. Step 6: Final answer
    x = 109,715.48

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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.