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Finding the Fourth Proportional to 68,657.60, 102,986.40 and 42,276.80

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Solution

The fourth proportional to 68,657.60, 102,986.40 and 42,276.80 is: 63,415.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,657.60 : 102,986.40 = 42,276.80 : x
  2. Step 2: Convert to fraction form
    68,657.60/102,986.40 = 42,276.80/x
  3. Step 3: Cross multiply
    68,657.60x = 102,986.40 × 42,276.80
  4. Step 4: Simplify right side
    68,657.60x = 4,353,935,435.52
  5. Step 5: Solve for x
    x = 4,353,935,435.52/68,657.60
  6. Step 6: Final answer
    x = 63,415.20

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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.