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Finding the Fourth Proportional to 192,415.30, 288,622.95 and 156,985.90

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Solution

The fourth proportional to 192,415.30, 288,622.95 and 156,985.90 is: 235,478.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,415.30 : 288,622.95 = 156,985.90 : x
  2. Step 2: Convert to fraction form
    192,415.30/288,622.95 = 156,985.90/x
  3. Step 3: Cross multiply
    192,415.30x = 288,622.95 × 156,985.90
  4. Step 4: Simplify right side
    192,415.30x = 45,309,733,566.41
  5. Step 5: Solve for x
    x = 45,309,733,566.41/192,415.30
  6. Step 6: Final answer
    x = 235,478.85

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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.