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Finding the Fourth Proportional to 153,194.69, 229,791.70 and 72,989.20

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Solution

The fourth proportional to 153,194.69, 229,791.70 and 72,989.20 is: 109,483.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,194.69 : 229,791.70 = 72,989.20 : x
  2. Step 2: Convert to fraction form
    153,194.69/229,791.70 = 72,989.20/x
  3. Step 3: Cross multiply
    153,194.69x = 229,791.70 × 72,989.20
  4. Step 4: Simplify right side
    153,194.69x = 16,772,311,984.69
  5. Step 5: Solve for x
    x = 16,772,311,984.69/153,194.69
  6. Step 6: Final answer
    x = 109,483.64

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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.