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Finding the Fourth Proportional to 128,130.66, 192,103.65 and 78,199.02

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Solution

The fourth proportional to 128,130.66, 192,103.65 and 78,199.02 is: 117,242.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,130.66 : 192,103.65 = 78,199.02 : x
  2. Step 2: Convert to fraction form
    128,130.66/192,103.65 = 78,199.02/x
  3. Step 3: Cross multiply
    128,130.66x = 192,103.65 × 78,199.02
  4. Step 4: Simplify right side
    128,130.66x = 15,022,317,168.42
  5. Step 5: Solve for x
    x = 15,022,317,168.42/128,130.66
  6. Step 6: Final answer
    x = 117,242.17

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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.