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Finding the Fourth Proportional to 163,823.80, 245,735.80 and 45,495.16

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Solution

The fourth proportional to 163,823.80, 245,735.80 and 45,495.16 is: 68,242.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,823.80 : 245,735.80 = 45,495.16 : x
  2. Step 2: Convert to fraction form
    163,823.80/245,735.80 = 45,495.16/x
  3. Step 3: Cross multiply
    163,823.80x = 245,735.80 × 45,495.16
  4. Step 4: Simplify right side
    163,823.80x = 11,179,789,538.73
  5. Step 5: Solve for x
    x = 11,179,789,538.73/163,823.80
  6. Step 6: Final answer
    x = 68,242.77

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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.