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Finding the Fourth Proportional to 109,970.76, 165,002.88 and 74,472.08

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Solution

The fourth proportional to 109,970.76, 165,002.88 and 74,472.08 is: 111,739.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,970.76 : 165,002.88 = 74,472.08 : x
  2. Step 2: Convert to fraction form
    109,970.76/165,002.88 = 74,472.08/x
  3. Step 3: Cross multiply
    109,970.76x = 165,002.88 × 74,472.08
  4. Step 4: Simplify right side
    109,970.76x = 12,288,107,679.59
  5. Step 5: Solve for x
    x = 12,288,107,679.59/109,970.76
  6. Step 6: Final answer
    x = 111,739.77

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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.