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Finding the Fourth Proportional to 156,989.64, 235,492.58 and 51,816.80

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Solution

The fourth proportional to 156,989.64, 235,492.58 and 51,816.80 is: 77,727.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,989.64 : 235,492.58 = 51,816.80 : x
  2. Step 2: Convert to fraction form
    156,989.64/235,492.58 = 51,816.80/x
  3. Step 3: Cross multiply
    156,989.64x = 235,492.58 × 51,816.80
  4. Step 4: Simplify right side
    156,989.64x = 12,202,471,919.34
  5. Step 5: Solve for x
    x = 12,202,471,919.34/156,989.64
  6. Step 6: Final answer
    x = 77,727.88

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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.