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Finding the Fourth Proportional to 163,770.64, 245,659 and 51,448.74

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Solution

The fourth proportional to 163,770.64, 245,659 and 51,448.74 is: 77,174.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,770.64 : 245,659 = 51,448.74 : x
  2. Step 2: Convert to fraction form
    163,770.64/245,659 = 51,448.74/x
  3. Step 3: Cross multiply
    163,770.64x = 245,659 × 51,448.74
  4. Step 4: Simplify right side
    163,770.64x = 12,638,846,019.66
  5. Step 5: Solve for x
    x = 12,638,846,019.66/163,770.64
  6. Step 6: Final answer
    x = 77,174.07

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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.