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Finding the Fourth Proportional to 180,574.69, 249,234.54 and 120,147.88

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Solution

The fourth proportional to 180,574.69, 249,234.54 and 120,147.88 is: 165,831.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,574.69 : 249,234.54 = 120,147.88 : x
  2. Step 2: Convert to fraction form
    180,574.69/249,234.54 = 120,147.88/x
  3. Step 3: Cross multiply
    180,574.69x = 249,234.54 × 120,147.88
  4. Step 4: Simplify right side
    180,574.69x = 29,945,000,357.60
  5. Step 5: Solve for x
    x = 29,945,000,357.60/180,574.69
  6. Step 6: Final answer
    x = 165,831.66

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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.