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Finding the Fourth Proportional to 180,950.10, 249,719.33 and 100,377.68

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Solution

The fourth proportional to 180,950.10, 249,719.33 and 100,377.68 is: 138,525.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,950.10 : 249,719.33 = 100,377.68 : x
  2. Step 2: Convert to fraction form
    180,950.10/249,719.33 = 100,377.68/x
  3. Step 3: Cross multiply
    180,950.10x = 249,719.33 × 100,377.68
  4. Step 4: Simplify right side
    180,950.10x = 25,066,247,121.26
  5. Step 5: Solve for x
    x = 25,066,247,121.26/180,950.10
  6. Step 6: Final answer
    x = 138,525.74

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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.