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Finding the Fourth Proportional to 180,900, 249,645.12 and 100,331.04

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Solution

The fourth proportional to 180,900, 249,645.12 and 100,331.04 is: 138,458.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,900 : 249,645.12 = 100,331.04 : x
  2. Step 2: Convert to fraction form
    180,900/249,645.12 = 100,331.04/x
  3. Step 3: Cross multiply
    180,900x = 249,645.12 × 100,331.04
  4. Step 4: Simplify right side
    180,900x = 25,047,154,520.52
  5. Step 5: Solve for x
    x = 25,047,154,520.52/180,900
  6. Step 6: Final answer
    x = 138,458.57

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1.5x scale

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.