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Finding the Fourth Proportional to 180,883, 249,618.56 and 100,322.84

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Solution

The fourth proportional to 180,883, 249,618.56 and 100,322.84 is: 138,445.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,883 : 249,618.56 = 100,322.84 : x
  2. Step 2: Convert to fraction form
    180,883/249,618.56 = 100,322.84/x
  3. Step 3: Cross multiply
    180,883x = 249,618.56 × 100,322.84
  4. Step 4: Simplify right side
    180,883x = 25,042,442,855.91
  5. Step 5: Solve for x
    x = 25,042,442,855.91/180,883
  6. Step 6: Final answer
    x = 138,445.53

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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.