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Finding the Fourth Proportional to 180,775.52, 249,478.56 and 100,204.80

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Solution

The fourth proportional to 180,775.52, 249,478.56 and 100,204.80 is: 138,287.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,775.52 : 249,478.56 = 100,204.80 : x
  2. Step 2: Convert to fraction form
    180,775.52/249,478.56 = 100,204.80/x
  3. Step 3: Cross multiply
    180,775.52x = 249,478.56 × 100,204.80
  4. Step 4: Simplify right side
    180,775.52x = 24,998,949,209.09
  5. Step 5: Solve for x
    x = 24,998,949,209.09/180,775.52
  6. Step 6: Final answer
    x = 138,287.25

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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.