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Finding the Fourth Proportional to 119,758.50, 165,267.95 and 72,012.65

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Solution

The fourth proportional to 119,758.50, 165,267.95 and 72,012.65 is: 99,378.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,758.50 : 165,267.95 = 72,012.65 : x
  2. Step 2: Convert to fraction form
    119,758.50/165,267.95 = 72,012.65/x
  3. Step 3: Cross multiply
    119,758.50x = 165,267.95 × 72,012.65
  4. Step 4: Simplify right side
    119,758.50x = 11,901,381,853.16
  5. Step 5: Solve for x
    x = 11,901,381,853.16/119,758.50
  6. Step 6: Final answer
    x = 99,378.18

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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.