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Finding the Fourth Proportional to 163,978.56, 245,963.52 and 45,658.08

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Solution

The fourth proportional to 163,978.56, 245,963.52 and 45,658.08 is: 68,485.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,978.56 : 245,963.52 = 45,658.08 : x
  2. Step 2: Convert to fraction form
    163,978.56/245,963.52 = 45,658.08/x
  3. Step 3: Cross multiply
    163,978.56x = 245,963.52 × 45,658.08
  4. Step 4: Simplify right side
    163,978.56x = 11,230,222,073.24
  5. Step 5: Solve for x
    x = 11,230,222,073.24/163,978.56
  6. Step 6: Final answer
    x = 68,485.92

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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.