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Finding the Fourth Proportional to 180,940.80, 249,783.84 and 120,612

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Solution

The fourth proportional to 180,940.80, 249,783.84 and 120,612 is: 166,501.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,940.80 : 249,783.84 = 120,612 : x
  2. Step 2: Convert to fraction form
    180,940.80/249,783.84 = 120,612/x
  3. Step 3: Cross multiply
    180,940.80x = 249,783.84 × 120,612
  4. Step 4: Simplify right side
    180,940.80x = 30,126,928,510.08
  5. Step 5: Solve for x
    x = 30,126,928,510.08/180,940.80
  6. Step 6: Final answer
    x = 166,501.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.