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Finding the Fourth Proportional to 180,856.53, 249,585 and 100,287.45

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Solution

The fourth proportional to 180,856.53, 249,585 and 100,287.45 is: 138,398.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,856.53 : 249,585 = 100,287.45 : x
  2. Step 2: Convert to fraction form
    180,856.53/249,585 = 100,287.45/x
  3. Step 3: Cross multiply
    180,856.53x = 249,585 × 100,287.45
  4. Step 4: Simplify right side
    180,856.53x = 25,030,243,208.25
  5. Step 5: Solve for x
    x = 25,030,243,208.25/180,856.53
  6. Step 6: Final answer
    x = 138,398.34

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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.