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Finding the Fourth Proportional to 180,781.80, 249,452.67 and 100,209.30

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Solution

The fourth proportional to 180,781.80, 249,452.67 and 100,209.30 is: 138,274.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,781.80 : 249,452.67 = 100,209.30 : x
  2. Step 2: Convert to fraction form
    180,781.80/249,452.67 = 100,209.30/x
  3. Step 3: Cross multiply
    180,781.80x = 249,452.67 × 100,209.30
  4. Step 4: Simplify right side
    180,781.80x = 24,997,477,443.83
  5. Step 5: Solve for x
    x = 24,997,477,443.83/180,781.80
  6. Step 6: Final answer
    x = 138,274.30

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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.