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Finding the Fourth Proportional to 86,378.68, 119,197.98 and 48,650.50

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Solution

The fourth proportional to 86,378.68, 119,197.98 and 48,650.50 is: 67,135.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,378.68 : 119,197.98 = 48,650.50 : x
  2. Step 2: Convert to fraction form
    86,378.68/119,197.98 = 48,650.50/x
  3. Step 3: Cross multiply
    86,378.68x = 119,197.98 × 48,650.50
  4. Step 4: Simplify right side
    86,378.68x = 5,799,041,325.99
  5. Step 5: Solve for x
    x = 5,799,041,325.99/86,378.68
  6. Step 6: Final answer
    x = 67,135.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.