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Finding the Fourth Proportional to 160,978.40, 241,370.40 and 72,215.36

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Solution

The fourth proportional to 160,978.40, 241,370.40 and 72,215.36 is: 108,279.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,978.40 : 241,370.40 = 72,215.36 : x
  2. Step 2: Convert to fraction form
    160,978.40/241,370.40 = 72,215.36/x
  3. Step 3: Cross multiply
    160,978.40x = 241,370.40 × 72,215.36
  4. Step 4: Simplify right side
    160,978.40x = 17,430,650,329.34
  5. Step 5: Solve for x
    x = 17,430,650,329.34/160,978.40
  6. Step 6: Final answer
    x = 108,279.44

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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.