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Finding the Fourth Proportional to 109,783.20, 164,674.80 and 74,791.20

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Solution

The fourth proportional to 109,783.20, 164,674.80 and 74,791.20 is: 112,186.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,783.20 : 164,674.80 = 74,791.20 : x
  2. Step 2: Convert to fraction form
    109,783.20/164,674.80 = 74,791.20/x
  3. Step 3: Cross multiply
    109,783.20x = 164,674.80 × 74,791.20
  4. Step 4: Simplify right side
    109,783.20x = 12,316,225,901.76
  5. Step 5: Solve for x
    x = 12,316,225,901.76/109,783.20
  6. Step 6: Final answer
    x = 112,186.80

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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.