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Finding the Fourth Proportional to 109,315.68, 163,957.20 and 30,421.68

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Solution

The fourth proportional to 109,315.68, 163,957.20 and 30,421.68 is: 45,627.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,315.68 : 163,957.20 = 30,421.68 : x
  2. Step 2: Convert to fraction form
    109,315.68/163,957.20 = 30,421.68/x
  3. Step 3: Cross multiply
    109,315.68x = 163,957.20 × 30,421.68
  4. Step 4: Simplify right side
    109,315.68x = 4,987,853,472.10
  5. Step 5: Solve for x
    x = 4,987,853,472.10/109,315.68
  6. Step 6: Final answer
    x = 45,627.98

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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.