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Finding the Fourth Proportional to 163,809.50, 245,713.97 and 51,499.54

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Solution

The fourth proportional to 163,809.50, 245,713.97 and 51,499.54 is: 77,249.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,809.50 : 245,713.97 = 51,499.54 : x
  2. Step 2: Convert to fraction form
    163,809.50/245,713.97 = 51,499.54/x
  3. Step 3: Cross multiply
    163,809.50x = 245,713.97 × 51,499.54
  4. Step 4: Simplify right side
    163,809.50x = 12,654,155,941.04
  5. Step 5: Solve for x
    x = 12,654,155,941.04/163,809.50
  6. Step 6: Final answer
    x = 77,249.22

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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.