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Finding the Fourth Proportional to 146,810.40, 220,215.60 and 105,645.60

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Solution

The fourth proportional to 146,810.40, 220,215.60 and 105,645.60 is: 158,468.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,810.40 : 220,215.60 = 105,645.60 : x
  2. Step 2: Convert to fraction form
    146,810.40/220,215.60 = 105,645.60/x
  3. Step 3: Cross multiply
    146,810.40x = 220,215.60 × 105,645.60
  4. Step 4: Simplify right side
    146,810.40x = 23,264,809,191.36
  5. Step 5: Solve for x
    x = 23,264,809,191.36/146,810.40
  6. Step 6: Final answer
    x = 158,468.40

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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.