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Finding the Fourth Proportional to 164,047.80, 245,877.30 and 85,121.40

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Solution

The fourth proportional to 164,047.80, 245,877.30 and 85,121.40 is: 127,581.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,047.80 : 245,877.30 = 85,121.40 : x
  2. Step 2: Convert to fraction form
    164,047.80/245,877.30 = 85,121.40/x
  3. Step 3: Cross multiply
    164,047.80x = 245,877.30 × 85,121.40
  4. Step 4: Simplify right side
    164,047.80x = 20,929,420,004.22
  5. Step 5: Solve for x
    x = 20,929,420,004.22/164,047.80
  6. Step 6: Final answer
    x = 127,581.23

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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.