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Finding the Fourth Proportional to 192,047.40, 287,984.70 and 86,812.20

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Solution

The fourth proportional to 192,047.40, 287,984.70 and 86,812.20 is: 130,179.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,047.40 : 287,984.70 = 86,812.20 : x
  2. Step 2: Convert to fraction form
    192,047.40/287,984.70 = 86,812.20/x
  3. Step 3: Cross multiply
    192,047.40x = 287,984.70 × 86,812.20
  4. Step 4: Simplify right side
    192,047.40x = 25,000,585,373.34
  5. Step 5: Solve for x
    x = 25,000,585,373.34/192,047.40
  6. Step 6: Final answer
    x = 130,179.24

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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.