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Finding the Fourth Proportional to 163,580.42, 225,744.54 and 99,953.30

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Solution

The fourth proportional to 163,580.42, 225,744.54 and 99,953.30 is: 137,937.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,580.42 : 225,744.54 = 99,953.30 : x
  2. Step 2: Convert to fraction form
    163,580.42/225,744.54 = 99,953.30/x
  3. Step 3: Cross multiply
    163,580.42x = 225,744.54 × 99,953.30
  4. Step 4: Simplify right side
    163,580.42x = 22,563,911,729.98
  5. Step 5: Solve for x
    x = 22,563,911,729.98/163,580.42
  6. Step 6: Final answer
    x = 137,937.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.