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Finding the Fourth Proportional to 68,470.60, 102,782.70 and 40,784.20

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Solution

The fourth proportional to 68,470.60, 102,782.70 and 40,784.20 is: 61,222.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,470.60 : 102,782.70 = 40,784.20 : x
  2. Step 2: Convert to fraction form
    68,470.60/102,782.70 = 40,784.20/x
  3. Step 3: Cross multiply
    68,470.60x = 102,782.70 × 40,784.20
  4. Step 4: Simplify right side
    68,470.60x = 4,191,910,193.34
  5. Step 5: Solve for x
    x = 4,191,910,193.34/68,470.60
  6. Step 6: Final answer
    x = 61,222.05

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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.