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Finding the Fourth Proportional to 180,707.56, 249,065.08 and 120,169.98

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Solution

The fourth proportional to 180,707.56, 249,065.08 and 120,169.98 is: 165,627.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,707.56 : 249,065.08 = 120,169.98 : x
  2. Step 2: Convert to fraction form
    180,707.56/249,065.08 = 120,169.98/x
  3. Step 3: Cross multiply
    180,707.56x = 249,065.08 × 120,169.98
  4. Step 4: Simplify right side
    180,707.56x = 29,930,145,381.87
  5. Step 5: Solve for x
    x = 29,930,145,381.87/180,707.56
  6. Step 6: Final answer
    x = 165,627.52

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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.