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Finding the Fourth Proportional to 180,695.66, 249,360.46 and 100,122.53

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Solution

The fourth proportional to 180,695.66, 249,360.46 and 100,122.53 is: 138,169.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,695.66 : 249,360.46 = 100,122.53 : x
  2. Step 2: Convert to fraction form
    180,695.66/249,360.46 = 100,122.53/x
  3. Step 3: Cross multiply
    180,695.66x = 249,360.46 × 100,122.53
  4. Step 4: Simplify right side
    180,695.66x = 24,966,598,640.06
  5. Step 5: Solve for x
    x = 24,966,598,640.06/180,695.66
  6. Step 6: Final answer
    x = 138,169.34

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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.