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Finding the Fourth Proportional to 180,889.80, 249,610.14 and 100,315.92

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Solution

The fourth proportional to 180,889.80, 249,610.14 and 100,315.92 is: 138,426.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,889.80 : 249,610.14 = 100,315.92 : x
  2. Step 2: Convert to fraction form
    180,889.80/249,610.14 = 100,315.92/x
  3. Step 3: Cross multiply
    180,889.80x = 249,610.14 × 100,315.92
  4. Step 4: Simplify right side
    180,889.80x = 25,039,870,835.43
  5. Step 5: Solve for x
    x = 25,039,870,835.43/180,889.80
  6. Step 6: Final answer
    x = 138,426.11

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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.