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Finding the Fourth Proportional to 160,130, 240,195 and 43,394

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Solution

The fourth proportional to 160,130, 240,195 and 43,394 is: 65,091

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,130 : 240,195 = 43,394 : x
  2. Step 2: Convert to fraction form
    160,130/240,195 = 43,394/x
  3. Step 3: Cross multiply
    160,130x = 240,195 × 43,394
  4. Step 4: Simplify right side
    160,130x = 10,423,021,830
  5. Step 5: Solve for x
    x = 10,423,021,830/160,130
  6. Step 6: Final answer
    x = 65,091

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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.