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Finding the Fourth Proportional to 207,827.80, 312,048.90 and 161,133.40

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Solution

The fourth proportional to 207,827.80, 312,048.90 and 161,133.40 is: 241,938.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,827.80 : 312,048.90 = 161,133.40 : x
  2. Step 2: Convert to fraction form
    207,827.80/312,048.90 = 161,133.40/x
  3. Step 3: Cross multiply
    207,827.80x = 312,048.90 × 161,133.40
  4. Step 4: Simplify right side
    207,827.80x = 50,281,500,223.26
  5. Step 5: Solve for x
    x = 50,281,500,223.26/207,827.80
  6. Step 6: Final answer
    x = 241,938.28

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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.