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Finding the Fourth Proportional to 166,320, 249,512.88 and 85,062.12

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Solution

The fourth proportional to 166,320, 249,512.88 and 85,062.12 is: 127,610.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,320 : 249,512.88 = 85,062.12 : x
  2. Step 2: Convert to fraction form
    166,320/249,512.88 = 85,062.12/x
  3. Step 3: Cross multiply
    166,320x = 249,512.88 × 85,062.12
  4. Step 4: Simplify right side
    166,320x = 21,224,094,540.11
  5. Step 5: Solve for x
    x = 21,224,094,540.11/166,320
  6. Step 6: Final answer
    x = 127,610.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.