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Finding the Fourth Proportional to 128,803, 193,204.50 and 54,931

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Solution

The fourth proportional to 128,803, 193,204.50 and 54,931 is: 82,396.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,803 : 193,204.50 = 54,931 : x
  2. Step 2: Convert to fraction form
    128,803/193,204.50 = 54,931/x
  3. Step 3: Cross multiply
    128,803x = 193,204.50 × 54,931
  4. Step 4: Simplify right side
    128,803x = 10,612,916,389.50
  5. Step 5: Solve for x
    x = 10,612,916,389.50/128,803
  6. Step 6: Final answer
    x = 82,396.50

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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.