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Finding the Fourth Proportional to 201,807.12, 278,438.42 and 140,484.62

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Solution

The fourth proportional to 201,807.12, 278,438.42 and 140,484.62 is: 193,830.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,807.12 : 278,438.42 = 140,484.62 : x
  2. Step 2: Convert to fraction form
    201,807.12/278,438.42 = 140,484.62/x
  3. Step 3: Cross multiply
    201,807.12x = 278,438.42 × 140,484.62
  4. Step 4: Simplify right side
    201,807.12x = 39,116,313,532.49
  5. Step 5: Solve for x
    x = 39,116,313,532.49/201,807.12
  6. Step 6: Final answer
    x = 193,830.20

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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.