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Finding the Fourth Proportional to 180,776.52, 249,479.94 and 100,205.80

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Solution

The fourth proportional to 180,776.52, 249,479.94 and 100,205.80 is: 138,288.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,776.52 : 249,479.94 = 100,205.80 : x
  2. Step 2: Convert to fraction form
    180,776.52/249,479.94 = 100,205.80/x
  3. Step 3: Cross multiply
    180,776.52x = 249,479.94 × 100,205.80
  4. Step 4: Simplify right side
    180,776.52x = 24,999,336,971.65
  5. Step 5: Solve for x
    x = 24,999,336,971.65/180,776.52
  6. Step 6: Final answer
    x = 138,288.63

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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.