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Finding the Fourth Proportional to 68,281.60, 102,641.10 and 48,695.80

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Solution

The fourth proportional to 68,281.60, 102,641.10 and 48,695.80 is: 73,199.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,281.60 : 102,641.10 = 48,695.80 : x
  2. Step 2: Convert to fraction form
    68,281.60/102,641.10 = 48,695.80/x
  3. Step 3: Cross multiply
    68,281.60x = 102,641.10 × 48,695.80
  4. Step 4: Simplify right side
    68,281.60x = 4,998,190,477.38
  5. Step 5: Solve for x
    x = 4,998,190,477.38/68,281.60
  6. Step 6: Final answer
    x = 73,199.67

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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.