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Finding the Fourth Proportional to 164,940.60, 247,929.30 and 161,830.20

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Solution

The fourth proportional to 164,940.60, 247,929.30 and 161,830.20 is: 243,253.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,940.60 : 247,929.30 = 161,830.20 : x
  2. Step 2: Convert to fraction form
    164,940.60/247,929.30 = 161,830.20/x
  3. Step 3: Cross multiply
    164,940.60x = 247,929.30 × 161,830.20
  4. Step 4: Simplify right side
    164,940.60x = 40,122,448,204.86
  5. Step 5: Solve for x
    x = 40,122,448,204.86/164,940.60
  6. Step 6: Final answer
    x = 243,253.92

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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.